Academic literature on the topic 'Pro-p-group'
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Journal articles on the topic "Pro-p-group"
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Dario, R. P., and A. J. Engler. "Relative Brauer group and pro-p Galois group of pre-p-henselian fields." Journal of Algebra and Its Applications 14, no. 06 (April 21, 2015): 1550087. http://dx.doi.org/10.1142/s0219498815500875.
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Let p be a prime number and (F, v) a valued field. In this paper, we find a presentation for the p-torsion part of the Brauer group Br (F), by means of the valuation v. We only assume that F has a primitive pth root of the unity and the residue class field has characteristic not equal to p. This result naturally leads to consider valued fields that we call pre-p-henselian fields. It concerns valuations compatible with Rp, the p-radical of the field. To be precise, Rp is the radical of the skew-symmetric pairing which associates to a pair (a, b) the class of the symbol algebra (F; a, b) in Br F. In our main result, we state that pre-p-henselian fields are precisely the fields for which the Galois group of the maximal Galois p-extension admits a particular decomposition as a free pro-p product.
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Mazza, Nadia. "The pro-p group of upper unitriangular matrices." Journal of Pure and Applied Algebra 221, no. 12 (December 2017): 2928–52. http://dx.doi.org/10.1016/j.jpaa.2017.02.009.
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Riley, David M. "Analytic pro-p groups and their graded group rings." Journal of Pure and Applied Algebra 90, no. 1 (November 1993): 69–76. http://dx.doi.org/10.1016/0022-4049(93)90137-i.
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Klopsch, Benjamin, and Anitha Thillaisundaram. "A pro-p group with infinite normal Hausdorff spectra." Pacific Journal of Mathematics 303, no. 2 (December 31, 2019): 569–603. http://dx.doi.org/10.2140/pjm.2019.303.569.
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Afanas’eva, S. G. "The Coordinate Group of an Affine Space Over a Rigid Metabelian Pro-p-group." Algebra and Logic 53, no. 3 (July 2014): 187–90. http://dx.doi.org/10.1007/s10469-014-9282-9.
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KOCHLOUKOVA, DESSISLAVA H., and PAVEL A. ZALESSKII. "Subdirect products of pro-p groups." Mathematical Proceedings of the Cambridge Philosophical Society 158, no. 2 (January 9, 2015): 289–303. http://dx.doi.org/10.1017/s030500411400067x.
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AbstractWe study when a pro-p subdirect product S ⩽ G1 × . . . × Gn is of type FPm for m ⩾ 2 for some special pro-p groups Gi. In particular we treat the case when Gi is a finitely generated non-trivial free pro-p product different from C2 ∐ C2 if p = 2 or a non-abelian pro-p group from the class $\mathcal{L}$ defined in [12].
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Herfort, Wolfgang, and Luis Ribes. "Subgroups of free pro-p-products." Mathematical Proceedings of the Cambridge Philosophical Society 101, no. 2 (March 1987): 197–206. http://dx.doi.org/10.1017/s0305004100066548.
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If F is a free profinite group, it is well known that the closed subgroups of F need not be free profinite; however, if p is a prime number, every closed subgroup of a free pro-p-group is free pio-p (cf. [2, 8, 7]). In this paper we show that there is an analogous contrast regarding the closed subgroups of free products in the category of profinite groups, and the closed subgroups of free products in the category of pro-p-groups, at least for (topologically) finitely generated subgroups.
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Strojný, L., J. Štofilová, E. Hijová, V. Szabadosová, R. Salaj, I. Bertková, A. Chmelárová, et al. "Effect of Lactobacillus plantarum LS/07 in combination with flaxseed oil on the microflora, enzymatic activity, and histological changes in the development of chemically induced precancerous growth in the rat colon." Czech Journal of Animal Science 59, No. 6 (July 2, 2014): 268–77. http://dx.doi.org/10.17221/7497-cjas.
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This experimental study showed the effect of L. plantarum LS/07 on the changes in total counts of coliform bacteria, enzymatic activities, cytokine and histological changes in the colonic mucosa, chemically induced by the application of 1.2-dimethylhydrazine dihydrochloride (1.2-DMH) in rats once a week during five weeks in the positive control group, probioticum (PRO) group, and probioticum and oil (PRO-O) group. A total of 32 rats were randomly assigned to four treatment groups: negative control group (diet without any supplements), positive control group (1.2-DMH without any supplements), PRO group (L. plantarum LS/07 at the dose (average concentration 2.88 × 10<sup>9</sup> CFU/ml) + 1.2-DMH), PRO-O group (L. plantarum LS/07 + flaxseed oil (40 g/kg feed) + 1.2-DMH). All rats were kept on fat diet (35 g/kg). The results showed a significant (P < 0.05) decrease in total counts of coliform bacteria in PRO-O group. Results of enzymatic activities of isolated strain showed that L. plantarum LS/07 does not produce enzyme β-glucuronidase. Significantly higher activity of β-galactosidase was in the groups PRO (P < 0.001) and PRO-O (P < 0.01). On the other hand, significantly lower (P < 0.001) enzymatic activity of ß-glucuronidase and β-glucosidase was found in PRO-O group compared with positive control group. The cytokine activity of tumor necrosis factor (TNFα) was significantly decreased in groups PRO (P < 0.001) and PRO-O (P < 0.01) compared to the positive control group. The histological examination showed different changes (aberrant crypts and goblet cells) in experimental groups in comparison to the negative control group. Our study indicates that L. plantarum LS/07 in combination with flaxseed oil had a positive influence on colon microflora, enzymatic activities, and cytokine activity. The total results showed that potentiating effects of natural components were markedly achieved in the experimental group PRO-O.
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ITOH, TSUYOSHI, and YASUSHI MIZUSAWA. "On tamely ramified pro-p-extensions over -extensions of." Mathematical Proceedings of the Cambridge Philosophical Society 156, no. 2 (November 20, 2013): 281–94. http://dx.doi.org/10.1017/s0305004113000637.
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AbstractFor an odd prime number p and a finite set S of prime numbers congruent to 1 modulo p, we consider the Galois group of the maximal pro-p-extension unramified outside S over the ${\mathbb Z}_p$-extension of the rational number field. In this paper, we classify all S such that the Galois group is a metacyclic pro-p group.
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Romanovskii, N. S. "Algebraic Sets in a Finitely Generated 2-Step Solvable Rigid Pro-p-Group." Algebra and Logic 54, no. 6 (January 2016): 478–88. http://dx.doi.org/10.1007/s10469-016-9367-8.
Full textDissertations / Theses on the topic "Pro-p-group"
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Smith, Duncan Alexander Mathematics UNSW. "The Families with Period 1 of 2-groups of Coclass 3." Awarded by:University of New South Wales. Mathematics, 2000. http://handle.unsw.edu.au/1959.4/17792.
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The 2-groups of coclass 1 are widely known and James (in 1975) looked at the 2-groups of coclass 2. Development of the p-group generation algorithm implemented by O'Brien at ANU enabled group presentations to be provided for the 2-groups of coclass 3 by Newman and O'Brien for groups of order up to 223. Newman and O'Brien (in 1999) conjectured the number of descendants of 2n for all n. They introduced the concept of a family, with each family related to a different pro-p-group and the concept of a sporadic p-group, a p-group external to any family. They found 1782 sporadic 2-groups with order at most 214. The 70 families of 2-groups of coclass 3 can be further split according to their period, a measure of the repetitive structure of the families. Newman and O'Brien conjectured that these families had periods of 1, 2 or 4. This thesis examines the 2-groups of coclass 3 contained in families with period 1 and shows that the number of descendants conjectured by Newman and O'Brien is correct. Furthermore the presentation of all groups contained in period 1 families is provided and shown to be correct.
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Rougnant, Marine. "Sur quelques aspects des extensions à ramification restreinte." Thesis, Bourgogne Franche-Comté, 2018. http://www.theses.fr/2018UBFCD015/document.
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Soit p un nombre premier, soit K/k une extension galoisienne finie de corps de nombres de degré premier à p et soit S un ensemble fini de premiers de k. Le groupe de Galois G(K,S) de la pro-p extension maximale de K non ramifiée en dehors de S est l'objet central de ce mémoire.On se place dans un premier temps dans le cas modéré : on suppose que S ne contient pas les places divisant p. Les travaux combinés de Labute, Minac et Schmidt sur les pro-p groupes mild ont permis d'exhiber les premiers exemples de groupes G(K,S) de dimension cohomologique 2. En implémentant un corollaire de leur critère dans le logiciel PARI/GP, on observe un phénomène de propagation : si k=Q et si le groupe G(Q,S) est mild, un fort pourcentage des groupes G(K,S) l'est également, pour K quadratique imaginaire. En associant au groupe G(K,S) deux graphes orientés dont les arcs sont définis par la ramification dans des extensions p-élémentaires, on démontre un critère théorique pour que ce phénomène de propagation ait lieu.On considère ensuite le cas sauvage : toutes les places au-dessus de p sont contenues dans S. Le groupe de Galois Δ:=Gal(K/k) agit sur G(K,S) ; on note G le plus grand quotient de G(K,S) sur lequel Δ agit trivialement et H le sous-groupe fermé de G(K,S) correspondant. Maire a étudié la liberté du Zp[[G]]-module H^{ab}. Nous poussons plus loin ses résultats en considérant les φ-composantes de H^{ab} sous l'action de Δ. Sous de bonnes hypothèses et sous la conjecture de Leopoldt, on démontre une condition nécessaire et suffisante pour que les φ-composantes soient libres ou non. La théorie du corps de classes permet de ramener cette condition à l'étude du régulateur normalisé, et donc à la p-rationalité du corps K. Les expérimentations faites sur PARI/GP dans des familles d'extensions cubiques cycliques, diédrales et cycliques de degré 4 du corps des rationnels corroborent une conjecture de Gras selon laquelle tout corps de nombres est p-rationnel pour p suffisant grandLet p be a prime number, let K/k be a Galois extension of number fields and let S be a finite set of primes of K. We suppose that the degree of K/k is finite and coprime to p. We denote by G(K,S) the Galois group of the pro-p maximal extension of K unramified outside S. We focus on this thesis on two differents aspects of this pro-p group.We are first interested in the tame case : we suppose that S does not contain any place above p. The works of Labute, Minac and Schmidt about mild pro-p groups brought the first examples of groups G(K,S) of cohomological dimension two. Using a corollary of their criterium, we compute some examples with PARI/GP and we observe a propagation phenomenum : if we take K=Q and if we suppose that G(Q,S) is mild, a large part of the pro-p groups G(K,S) with K imaginary quadratic are mild too. We then associate two oriented graphs to G(K,S) and we show a theoretical criterium proving mildness of some imaginary quadratic fields.We then consider the wild case where all the places dividing p belong to S. The Galois group Δ:=Gal(K/k) acts on G(K,S). The action of Δ is trivial on some quotients of G(K,S) ; we denote by G the maximal one and by H the corresponding closed subgroup of G(K,S). Maire has studied the Zp[[G]]-freeness of the module H^{ab}. We extend his results considering the φ-component of H^{ab} under the action of Δ. In a favourable context and under Leopoldt's conjecture, we show a necessary and sufficient condition for the freeness of the φ-components. This condition is connected to p-rational fields by class field theory. We present experiments with PARI/GP in some families of cubic cyclic, dihedral and quartic cyclic extensions of Q which support the following conjecture from Gras : every number field is p-rational for sufficiently large p
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Simons, Nicholas James. "The width of verbal subgroups in profinite groups." Thesis, University of Oxford, 2009. http://ora.ox.ac.uk/objects/uuid:01075c36-c7e6-4def-9647-86b4346e4726.
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The main result of this thesis is an original proof that every word has finite width in a compact $p$-adic analytic group. The proof we give here is an alternative to Andrei Jaikin-Zapirain's recent proof of the same result, and utilises entirely group-theoretical ideas. We accomplish this by reducing the problem to a proof that every word has finite width in a profinite group which is virtually a polycyclic pro-$p$ group. To obtain this latter result we first establish that such a group can be embedded as an open subgroup of a group of the form $N_1M_1$, where $N_1$ is a finitely generated closed normal nilpotent subgroup, and $M_1$ is a finitely generated closed nilpotent-by-finite subgroup; we then adapt a method of V. A. Romankov. As a corollary we note that our approach also proves that every word has finite width in a polycyclic-by-finite group (which is not profinite). As a supplementary result we show that for finitely generated closed subgroups $H$ and $K$ of a profinite group the commutator subgroup $[H,K]$ is closed, and give examples to show that various hypotheses are necessary. This implies that the outer-commutator words have finite width in profinite groups of finite rank. We go on to establish some bounds for this width. In addition, we show that every word has finite width in a product of a nilpotent group of finite rank and a virtually nilpotent group of finite rank. We consider the possible application of this to soluble minimax groups.
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Toinet, Emmanuel. "Automorphisms of right-angled Artin groups." Thesis, Dijon, 2012. http://www.theses.fr/2012DIJOS003.
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Cette thèse a pour objet l’étude des automorphismes des groupes d’Artin à angles droits. Etant donné un graphe simple fini G, le groupe d’Artin à angles droits GG associé à G est le groupe défini par la présentation dont les générateurs sont les sommets de G, et dont les relateurs sont les commutateurs [v,w], où {v,w} est une paire de sommets adjacents. Le premier chapitre est conçu comme une introduction générale à la théorie des groupes d’Artin à angles droits et de leurs automorphismes. Dans un deuxième chapitre, on démontre que tout sous-groupe sous-normal d’indice une puissance de p d’un groupe d’Artin à angles droits est résiduellement p-séparable. Comme application de ce résultat, on montre que tout groupe d’Artin à angles droits est résiduellement séparable dans la classe des groupes nilpotents sans torsion. Une autre application de ce résultat est que le groupe des automorphismes extérieurs d’un groupe d’Artin à angles droits est virtuellement résiduellement p-fini. On montre également que le groupe de Torelli d’un groupe d’Artin à angles droits est résiduellement nilpotent sans torsion, et, par suite, résiduellement p-fini et bi-ordonnable. Dans un troisième chapitre, on établit une présentation du sous-groupe Conj(GG) deAut(GG) formé des automorphismes qui envoient chaque générateur sur un conjugué de lui-mêmeThe purpose of this thesis is to study the automorphisms of right-angled Artin groups. Given a finite simplicial graph G, the right-angled Artin group GG associated to G is the group defined by the presentation whose generators are the vertices of G, and whose relators are commuta-tors of pairs of adjacent vertices. The first chapter is intended as a general introduction to the theory of right-angled Artin groups and their automor-phisms. In a second chapter, we prove that every subnormal subgroup ofp-power index in a right-angled Artin group is conjugacy p-separable. As an application, we prove that every right-angled Artin group is conjugacy separable in the class of torsion-free nilpotent groups. As another applica-tion, we prove that the outer automorphism group of a right-angled Artin group is virtually residually p-finite. We also prove that the Torelli group ofa right-angled Artin group is residually torsion-free nilpotent, hence residu-ally p-finite and bi-orderable. In a third chapter, we give a presentation of the subgroup Conj(GG) of Aut(GG) consisting of the automorphisms thats end each generator to a conjugate of itself
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Toinet, Emmanuel. "Automorphismes des groupes d'Artin à angles droits." Phd thesis, Université de Bourgogne, 2012. http://tel.archives-ouvertes.fr/tel-00698614.
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Cette thèse a pour objet l'étude des automorphismes des groupes d'Artin à angles droits. Etant donné un graphe simple fini $\Gamma$, le groupe d'Artin à angles droits $G_\Gamma$ associé à $\Gamma$ est le groupe défini par la présentation dont les générateurs sont les sommets de $\Gamma$, et dont les relateurs sont les commutateurs $[v,w]$, où {$v$,$w$} est une paire de sommets adjacents. Le premier chapitre est conçu comme une introduction générale à la théorie des groupes d'Artin à angles droits et de leurs automorphismes. Dans un deuxième chapitre, on démontre que tout sous-groupe sous-normal d'indice une puissance de $p$ d'un groupe d'Artin à angles droits est résiduellement $p$-séparable. Comme application de ce résultat, on montre que tout groupe d'Artin à angles droits est résiduellement séparable dans la classe des groupes nilpotents sans torsion. Une autre application de ce résultat est que le groupe des automorphismes extérieurs d'un groupe d'Artin à angles droits est virtuellement résiduellement $p$-fini. On montre également que le groupe de Torelli d'un groupe d'Artin à angles droits est résiduellement nilpotent sans torsion, et, par suite, résiduellement $p$-fini et bi-ordonnable. Dans un troisième chapitre, on établit une présentation du sous-groupe $Conj(G_\Gamma)$ de $Aut(G_\Gamma)$ formé des automorphismes qui envoient chaque générateur sur un conjugué de lui-même.
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Pinto, Aline Gomes da Silva. "Propriedades homologicas de grupos pro-p." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306931.
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Orientador: Dessislava H. KochloukovaTese (doutorado) - Universidade Estadual de Campinas. Instituto de Matematica, Estatistica e Computação Cientifica
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Resumo: Neste trabalho, provamos dois resultados sobre propriedades homológicas de grupos pro-p. O primeiro responde positivamente à conjectura de J. King que afirma que, se G é um grupo pro-p metabeliano finitamente gerado e m um inteiro positivo, então G mergulha como subgrupo fechado em um grupo pro-p metabeliano de tipo homológico F Pm. O segundo resultado caracteriza módulos pro-p B de tipo homológico F P m sobre [[ZpG]], onde G é um grupo pro-p metabeliano topologicamente finitamente gerado, dado pela extensão de um grupo pro-p abeliano A por um grupo pro-p abeliano Q, e B é um [[ZpQ]]-módulo pro-p finitamente gerado que é visto como um [[ZpG]]-módulo pro-p via a projeção de G -t Q. A caracterização é dada em termos do invariante para grupos pro-p metabelianos introduzido por J. King [15] e é uma generalização do caso onde B = Zp é o anel de inteiros p-ádicos considerado como G-módulo trivial, que dá a classificação dos grupos pro-p metabelianos de tipo homológico FPm, provado por D. Kochloukova [18]
Abstract: In this work, we prove two results about homological properties of metabelian pro-p groups. The first one answers positively a conjecture suggested by J. King that, if G is a finitely generated metabelian pro-p group and m a positive integer, G embeds in a metabelian pro-p group of homological type F P m. The second result caracterize the modules B of homological type F P mover [[ZpG]], where G is a topologically finitely generated metabelian pro-p group that is an extension of A by Q, with A and Q abelian, and B is a finitely generated pro-p [[ZpQ]]-module that is viewed as a pro-p [[ZpG]]-module via the projection G -f Q. The characterization is given in terms of the invariant introduced by J. King [15] and is a generalization of the case when B = Zp is considered as a trivial [[ZpG]]-module, that gives the classification of metabelian pro-p groups of type FPm, proved by D. Kochloukova [18]
Doutorado
Matematica
Doutor em Matemática
7
Martin, Maria Eugenia. "Propriedades homologicas de grupos pro-p." [s.n.], 2009. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306927.
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Orientador: Dessislava Hristova KochloukovaDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
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Resumo: Nesta dissertação discutimos propriedades homológicas de grupos discretos e grupos pro-p. Em particular trabalhamos com grupos abstratos de dualidade de Poincaré orientáveis de dimensão três e seu completamento pro-p. Os primeiros capítulos da dissertação incluem uma exposição sobre as propriedades homológicas básicas de grupos abstratos e grupos pro-p. Finalmente, descrevemos um resultado recente de [KZ], publicado em Transactions MAS ( 2008), que clássica quando o completamento pro-p de um grupo de dualidade de Poincaré orientável de dimensão três de um grupo pro-p de dualidade de Poincaré orientável de dimensão três
Abstract: In this dissertation we discuss homological properties of discrete groups and pro-p groups. In particular we work with groups of abstract of Poincaré duality of dimension three steerable and its pro-p completion. The first chapters of the dissertation include a presentation on the basic homological properties of abstract groups and pro-p groups. Finally, we describe a recent result of [KZ], published in Transactions AMS (2008), which ranks as the pro-p completion of a group of Poincare-steerable dual dimension of three is a group of pro-p duality of Poincare -steerable in three dimensions
Mestrado
Mestre em Matemática
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Lima, Igor dos Santos 1983. "Completamentos Pro-p de grupos de dualidade de Poincaré." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306926.
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Orientador: Dessislava Hristova KochloukovaTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
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Resumo: Neste trabalho, nos Teoremas Principais, damos condições suficientes para que o completamento pro-p de um grupo abstrato PDn seja virtualmente um grupo pro-p PDs para algum s ? n - 2 com n ? 4. Esse resultado é uma generalização do Teorema 3 em [K-2009]. Nossa prova é baseada em [K-2009] e nos resultados de A. A. Korenev [Ko-2004] e [Ko-2005]. Além disso, damos alguns exemplos de grupos que satisfazem as condições dos Teoremas Principais
Abstract: In this work we give in the Main Theorems suffiient conditions for that the pro- p completion of an abstract orientable PDn group to be virtually a pro-p PDs group for some s ? n - 2 with n ? 4. This result is a generalization of the Theorem 3 in [K-2009]. Our proof is based on [K-2009] and on the results of A. A. Korenev [Ko-2004] and [Ko-2005]. Furthermore we give some examples of groups that satisfy the conditions of the Main Theorems
Doutorado
Matematica
Doutor em Matemática
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Rêgo, Yuri Santos 1989. "A desigualdade de Golod-Safarevic para grupos pro-p e grupos abstratos." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306920.
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Orientador: Dessislava Hristova KochloukovaDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
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Resumo: Neste trabalho estuda-se os principais resultados dados por J. Wilson no artigo "Finite Presentations of Pro-p Groups and Discrete Groups", relacionados à Desigualdade de Golod-¿afarevi? para uma ampla classe de grupos pro-p e abstratos infinitos. Apresentamos a teoria básica de grupos livres abstratos, levando à noção de apresentação de grupos, com foco em apresentações finitas. É feito um estudo sobre grupos profinitos, particularmente no caso pro-p. Abrange-se definições, propriedades algébricas e topológicas básicas, bem como o caso de finitos geradores com o subgrupo de Frattini, e conceitos de completamentos, de grupos pro-p livres, de apresentações de grupos pro-p e de álgebras de grupo completas. No capítulo final estudamos os resultados principais para grupos pro-p e abstratos finitamente apresentáveis, que incluem grupos solúveis e implicações na estrutura de certos grupos satisfazendo a Desigualdade. Os anexos relacionam a teoria aqui apresentada a grupos pro-p de posto finito e homologia e cohomologia de grupos pro-p
Abstract: In this work we study the main results presented by J. Wilson in his paper "Finite Presentations of Pro-p Groups and Discrete Groups", which extend the Golod-¿afarevi? Inequality to a large class of infinite pro-p and abstract groups. In the first chapter we present the basic theory of abstract free groups, focusing on finite presentations. Next we study profinite groups, with focus on pro-p groups. This study ranges from definitions to basic algebraic and topological properties, as well as the cases of finitely generated groups and the Frattini subgroup, and notions of completion, free pro-p groups, presentations of pro-p groups and completed group algebras. In the last chapter we study the main results regarding finite presentations of pro-p and abstract groups, which include soluble groups and implications on the structure of certain groups for which the Inequality holds. In the appendixes we briefly relate the presented theory to pro-p groups of finite rank and homology and cohomology of pro-p groups
Mestrado
Matematica
Mestre em Matemática
10
Schmidt, Nicolas Alexander. "Generic pro-p Hecke algebras, the Hecke algebra of PGL(2, Z), and the cohomology of root data." Doctoral thesis, Humboldt-Universität zu Berlin, 2019. http://dx.doi.org/10.18452/19724.
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Es wird die Theorie der generischen pro-$p$ Hecke-Algebren und ihrer Bernstein-Abbildungen entwickelt. Für eine Unterklasse diese Algebren, der \textit{affinen} pro-$p$ Hecke-Algebren wird ein Struktursatz bewiesen, nachdem diese Algebren unter anderem stets noethersch sind, wenn es der Koeffizientenring ist. Hilfsmittel ist dabei der Nachweis der Bernsteinrelationen, der in abstrakter Weise geführt wird und so die bestehende Theorie verallgemeinert.
Ferner wird der top. Raum der Orientierungen einer Coxetergruppe eingeführt und im Falle der erweiterten modularen Gruppe $\operatorname{PGL}_2(\mathds{Z})$ untersucht, und ausgenutzt um Kenntnisse über die Struktur der zugehörigen Hecke-Algebra als Modul über einer gewissen Unteralgebra, welche zur Spitze im Unendlichen zugeordnet ist, zu erlangen.
Schließlich wird die Frage des Zerfallens des Normalisators eines maximalen zerfallenden Torus innerhalb einer zerfallenden reduktiven Gruppe als Erweiterung der Weylgruppe durch die Gruppe der rationalen Punkte des Torus untersucht, und mittels zuvor erreichter Ergebnisse auf eine kohomologische Frage zurückgeführt. Zur Teilbeantwortung dieser werden dann die Kohomologiegruppen bis zur Dimension drei der Kocharaktergitter der fasteinfachen halbeinfachen Wurzeldaten einschließlich des Rangs 8 berechnet. Mittels der Theorie der $\mathbf{FI}$-Moduln wird daraus die Berechnung der Kohomologie der mod-2-Reduktion der Kowurzelgitter für den Typ $A$ in allen Rängen bewiesen.The theory of generic pro-$p$ Hecke algebras and their Bernstein maps is developed. For a certain subclass, the \textit{affine} pro-$p$ Hecke algebras, we are able to prove a structure theorem that in particular shows that the latter algebras are always noetherian if the ring of coefficients is. The crucial technical tool are the Bernstein relations, which are proven in an abstract way that generalizes the known cases. Moreover, the topological space of orientations is introduced and studied in the case of the extended modular group $\operatorname{PGL}_2(\mathds{Z})$, and used to determine the structure of its Hecke algebra as a module over a certain subalgebra, attached to the cusp at infinity. Finally, the question of the splitness of the normalizer of a maximal split torus inside a split reductive groups as an extension of the Weyl group by the group of rational points is studied. Using results obtained previously, this questioned is then reduced to a cohomological one. A partial answer to this question is obtained via computer calculations of the cohomology groups of the cocharacter lattices of all almost-simple semisimple root data of rank up to $8$. Using the theory of $\mathbf{FI}$-modules, these computations are used to determine the cohomology of the mod 2 reduction of the coroot lattices for type $A$ and all ranks.
Books on the topic "Pro-p-group"
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Sautoy, Marcus Du, D. Segal, and A. Shalev. New Horizons in Pro-p Groups. Birkhauser Verlag AG, 2000.
Find full textBook chapters on the topic "Pro-p-group"
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Koch, Helmut. "Group Algebras of pro-p Groups." In Springer Monographs in Mathematics, 59–76. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04967-9_8.
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Camina, Rachel. "The Nottingham Group." In New Horizons in pro-p Groups, 205–21. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1380-2_6.
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du Sautoy, Marcus, and Ivan Fesenko. "Where the Wild Things Are: Ramification Groups and the Nottingham Group." In New Horizons in pro-p Groups, 287–328. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1380-2_10.
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"The group algebra." In Analytic Pro-P Groups, 138–70. Cambridge University Press, 1999. http://dx.doi.org/10.1017/cbo9780511470882.011.
Full textConference papers on the topic "Pro-p-group"
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Akaa, Obinna, Anthony Abu, and Michael Spearpoint. "Application of Group Analytic Technique in the design decision-making process for a steel building in fire." In IABSE Congress, Christchurch 2021: Resilient technologies for sustainable infrastructure. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2021. http://dx.doi.org/10.2749/christchurch.2021.0745.
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<p>This paper presents how group analytic technique (GAT) may be used to approach complex design decision-making using an exemplar steel portal-framed building exposed to a potentially destructive fire. Chartered stakeholder views on the building’s structural fire design attributes were extracted to determine qualitative priorities for selecting a suitable applied fire protection solution. Fire pro- tection costs and structural fire resistance have been numerically and probabilistically assessed re- garding the design of one of the building’s columns. The assessment outcomes have been inte- grated/synthesised through GAT. The results show the logical analyses of varying design objectives in approaching an optimal solution to resilient steel buildings and establish the viability of the tech- nique. The result also shows that unprotecting structural elements of the building was ranked as the best solution.</p>
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Milazzotto, F., M. Carelli, C. Citone, G. Di Macro Tullio, G. C. Gambelli, P. Giampaolo, U. Malinconico, C. Polizzi, and U. Cornelli. "EFFECTIVENESS OF DEFIBROTIDE IN THE TREATMENT OF ACUTE MYOCARDIAL INFARCTION." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1643146.
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Defibrotide (D) is an extractive polydesoxyribonucleotide. In preclinical studies the product was shown to be active as a pro -fibrinolytic, antithrombotic and thrombolytic agent while comply tely devoid of anticoagulant activity. In animal models, D was found to afford striking protection from the effects of acute lethal and non lethal myocardial ischemia as well as from myo -cardial injury following reperfusion. In this open single - blim trial, D was administered to patients with acute myocardial infaj ction (AMI) for the prevention of complicating arrhythmias; throy bus formation, pericarditis, etc.Sixty patients with AMI were divided randomly into two groups of 30 patients each. One group was treated with D by 6-hour drip infusion for 3 consecutive days (2.8 g on the first day, then 2.4 g daily). The other group was treated with equal volumes of physiological salt solution. All patients received conventional trea_t ment for AMI. The two trial groups were sufficiently homogeneous in terms of AMI type, age and sex distribution, PCT, Forrester index, Holter, and Peel index. D treatment proved effective in reducing the incidence of severe arrhythmia (p < 0.05), thrombus formation (p < 0.05), and pericarditis (p < 0.01). CPK, TT and PTT readings were not modified by the treatment; the incidence of post-AMI angina and the number of deaths (4 in each group) were similar in the two groups. The results of this pilot study are encouraging; further clinical trials are currently in progress to assess D activity in larger groups of patients treated with the product at higher dosages.
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Babic, Matej, Miroslav Holienka, and Nikolas Nagy. "Internal Load Of Soccer Goalkeepers During A Training Process." In 12th International Conference on Kinanthropology. Brno: Masaryk University Press, 2020. http://dx.doi.org/10.5817/cz.muni.p210-9631-2020-22.
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Purpose: The main aim of our research was to determine the internal load of goalkeepers in the soccer training process. The internal load of goalkeepers during the training process is examined according to the achieved values of heart rate. Our goal was to expand the knowl-edge of the impact of different methodical forms on the goalkeepers’ internal load in soccer, thereby support the possibilities of improving their training process. The assumption was that the goalkeepers would achieve significantly different heart rate values in different methodical forms. Methods: The research group was formed by six elite youth soccer goalkeepers (n=6) from U16, U17 and U19 categories. In order to evaluate the heart rate was used the POLAR PRO heart rate monitor and the loading zones of goalkeepers were determined by using a pro-gram called POLAR Team2. Subsequently, the obtained data were evaluated by using the Wilcoxon Signed-Rank Test and Cohen´s „r “(effect size). Results: The average difference in HRavg during preparatory exercise and small-sided game was 25 ± 9 beats.min-1, and the average difference in HRmax was 35 ± 12 beats.min-1. During preparatory exercise achieved the goalkeepers’ value of HRavg 134 ± 8 beats.min-1 and in small-sided game was HRavg 159 ± 8 beats.min-1. In individual methodical forms were found significantly different average heart rate values (z = -2.201, p < 0.05, r = 0.9), which statisti-cally and logically confirmed our assumption. Conclusion: Monitoring of soccer goalkeepers´ internal load in the process of training and improvement of game activities can greatly help the coaches in further planning, optimiza-tion and tracking of the training process. Based on our research´s results is recommended to monitor and evaluate the internal load intensity of goalkeepers using sporttesters during entire training process.
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Luczkowski, Marcin, Steinar Hillersøy Dyvik, John Haddal Mork, and Anders Nils Rønnquist. "Digital workflows vs. spatial structures design." In IABSE Symposium, Guimarães 2019: Towards a Resilient Built Environment Risk and Asset Management. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2019. http://dx.doi.org/10.2749/guimaraes.2019.0563.
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<p>Digital workflows are already widely used by the designers (architects and engineers) in creating a better Building Information Modelling (BIM) data flow. In the core of this design method is a para- metric model, which thanks to open source software can be easily customized according to the pro- ject or user needs. Shell or gridshell structures are very sensitive on the external loads, due to the low weight and big span. The accuracy and reliability are therefore a crucial point in design. More and more architects are using parametrical models, based on visual programing (like Grasshopper or Dynamo) to develop form of spatial structure. The parametric model in shell design gives a high precision in creating BIM model and is the starting point for the structural analysis. In this paper we will present a design method, in which the parametric model is not only the starting point for struc- tural analysis. Thanks to a well-established digital workflow it can occur, that structural analysis is made simultaneously with architectural form finding of the shell. The digital workflow, developed by our research group is based on the Finite Element Method (FEM). The design methodology is to create two kind of structural analyses. The first one, called global, is using beam elements to inves- tigate the general forces and deformations. The second one, called local, is using solid/volume ele- ments to investigate the connection solution. Thanks to fast information transfer between this two analysis and automation of this process, the architect can achieve information about feasibility of the whole designed structure in real time. To validate our approach the timber gridshell was de- signed. The structure with nontrivial shape and customized each of the 61 nodes, was build in 2016 in Trondheim. The nodes were manufactured with usage of the 3D printing technology.</p>
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Rejman, Krystyna, Marzena Jeżewska-Zychowicz, and Grzegorz Ganczewski. "Understanding the Concept of Sustainable Food Consumption – whether it will Reduce Meat Consumption." In 14th International Scientific Conference "Rural Environment. Education. Personality. (REEP)". Latvia University of Life Sciences and Technologies. Faculty of Engineering. Institute of Education and Home Economics, 2021. http://dx.doi.org/10.22616/reep.2021.14.041.
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Despite the evidence-based health and environment benefits of sustainable diets and the urgent need to change consumption patterns in well-developed countries into plant-based diet, people are reluctant to limit meat consumption. The aim of the study was to examine the attachment to meat consumption in a group of Polish consumers and whether it depends on an understanding of the concept of sustainable food consumption (SFC). The study was carried out using the Computer Assisted Web Interview method on a sample of 199 consumers, who met two criteria of inclusion: age (20 - 65 years old) and not excluding meat from the diet. The questionnaire included a tool to measure the attachment to eating meat in 4 dimensions: hedonism, affinity, entitlement, and dependence. The analysis of the results was carried out in the Statistica software. Pearson Chi-squared test and Student’s t-test were performed to investigate the significance of differences between the two variables (p≤0.05). In the surveyed group only 35 % of respondents interpreted the term of sustainable food consumption correctly and among them there were more people with higher education. Interviewees were rather strongly attached to eating meat and this was firstly due to the belief in human right to eat meat, secondly – taste preferences and hedonism, thirdly ‒ dependence on eating meat. The ethical motives (affinity) were rated lowest, but significantly higher by respondents understanding the concept of sustainable diet. Their opinions on all aspects of attachment to eating meat were more pro-environmental than those of respondents who did not understand the idea (although the differences in the opinions were not statistically significant). Our results indicate the need to implement effective educational programs that will show all benefits of a sustainable diet to provide consumers with reliable knowledge and on this basis influence their attitudes and support them in making healthier and more sustainable choices in the food market.
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Paul, Simon, Kadija Dyall, and Quinn Gabriel. "An Independent Analysis of the Performance Characteristics and Economic Outcomes of the Liza Phase 1 Development Offshore Guyana Using Public Domain Data." In SPE Trinidad and Tobago Section Energy Resources Conference. SPE, 2021. http://dx.doi.org/10.2118/200951-ms.
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Abstract An attempt was made to independently verify the proposed performance of the Liza 1 field using only data available in the public domain. The data used in modelling was sourced from news reports, company disclosures and the analogue Jubilee field in Ghana. Reservoir rock and fluid data from Jubilee Field was deemed an appropriate fit because of the corroboration provided by the Atlantic Drift Theory. A major challenge in creating the model, was determining the aerial extent of the field. According to Yang and Escalona (2011), the subsurface can be reasonably approximated using the surface topography which is possible via the use of GIS software. Google Earth Pro software was used to estimate the coordinates and areal extent of the Liza 1 reservoir. A scaled image of the field location showing the Guyana coastline was re-sized to fit the coastline in Google Pro and then the coordinates for the Liza field and wildcat well locations were estimated. This was used to create the isopach map and set reservoir boundaries to create the static and dynamic models in Schlumberger's Petrel E & P Software Platform (2017) and Computer Modelling Group IMEX Black Oil and Unconventional Simulator CMG IMEX (2016). The initialized model investigated the reservoir performance with and without pressure maintenance over a twenty (20) year period. The original oil in place (OOIP) estimated by the model was 7% larger than the OOIP estimated by ExxonMobil for Liza field. The model produced 35% of the OOIP compared to 50% of OOIP as forecasted by the operators. (See Table 1). The factors that strongly influenced this outcome were, the well positioning and the water injection rates. A significant percentage of the oil remained unproduced in the lower layers of the model after the 20-year period. Time did not permit further modelling to improve the performance of the model. Table 1 Comparison of The Created Model and ExxonMobil's Proposal for Liza. Property ExxonMobil's statement on Liza field Modelled field Result Original Oil in Place (MMbbl) 896 967 Oil Recovery Factor (%) 50 35 Gas production from the model would be used as gas injection from three injector wells and as fuel for the proposed 200 MW power plant for Guyana. Even so, significant volumes of natural gas remained unallocated and subsequently a valuable resource may have to be flared.