Thèses sur le sujet « Group8 »
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Schoemann, Claudia. « Représentations unitaires de U(5) p-adique ». Thesis, Montpellier 2, 2014. http://www.theses.fr/2014MON20101.
Texte intégralWe study the parabolically induced complex representations of the unitary group in 5 variables - U(5)- defined over a non-archimedean local field of characteristic 0. This is Qp or a finite extension of Qp ,where p is a prime number. We speak of a 'p-adic field'.Let F be a p-adic field. Let E : F be a field extension of degree two. Let Gal(E : F ) = {id, σ}. We write σ(x) = overline{x} forall x ∈ E. Let | |p denote the p-adic norm on E. Let E* := E {0} and let E 1 := {x ∈ E | x overline{x} = 1} .U(5) has three proper parabolic subgroups. Let P0 denote the minimal parabolic subgroup and P1 andP2 the two maximal parabolic subgroups. Let M0 , M1 and M2 denote the standard Levi subgroups and let N0 , N1and N2 denote unipotent subgroups of U(5). One has the Levi decomposition Pi = Mi Ni , i ∈ {0, 1, 2} .M0 = E* × E* × E 1 is the minimal Levi subgroup, M1 = GL(2, E) × E 1 and M2 = E* × U (3) are the two maximal parabolic subgroups.We consider representations of the Levi subgroups and extend them trivially to the unipotent subgroups toobtain representations of the parabolic groups. One now performs a procedure called 'parabolic induction'to obtain representations of U (5).We consider representations of M0 , further we consider non-cuspidal, not fully-induced representationsof M1 and M2 . For M1 this means that the representation of the GL(2, E)− part is a proper subquotientof a representation induced from E* × E* to GL(2, E). For M2 this means that the representation of theU (3)− part of M2 is a proper subquotient of a representation induced from E* × E 1 to U (3).As an example for M1 , take | det |α χ(det) StGL2 * λ' , where α ∈ R, χ is a unitary character of E* , StGL2 is the Steinberg representation of GL(2, E) and λ' is a character of E 1 . As an example forM2 , take | |α χ λ' (det) StU (3) , where α ∈ R, χ is a unitary character of E* , λ' is a character of E 1 andStU (3) is the Steinberg representation of U (3). Note that λ' is unitary.Further we consider the cuspidal representations of M1 .We determine the points and lines of reducibility of the representations of U(5), and we determinethe irreducible subquotients. Further, except several particular cases, we determine the unitary dual ofU(5) in terms of Langlands-quotients.The parabolically induced complex representations of U(3) over a p-adic field have been classied byCharles David Keys in [Key84], the parabolically induced complex representations of U(4) over a p-adicfield have been classied by Kazuko Konno in [Kon01].An aim of further study is the classication of the induced complex representations of unitary groupsof higher rank, like U (6) or U (7). The structure of the Levi subgroups of U (6) resembles the structureof the Levi subgroups of U (4), the structure of the Levi groups of U (7) resembles those of U (3) and ofU (5).Another aim is the classication of the parabolically induced complex representatioins of U (n) over ap-adic field for arbitrary n. Especially one would like to determine the irreducible unitary representations
Lader, Olivier. « Une résolution projective pour le second groupe de Morava pour p ≥ 5 et applications ». Phd thesis, Université de Strasbourg, 2013. http://tel.archives-ouvertes.fr/tel-00875761.
Texte intégralHolder, Cindy L. « Rethinking groups : Groups, group membership and group rights ». Diss., The University of Arizona, 2001. http://hdl.handle.net/10150/279856.
Texte intégralCumplido, Cabello María. « Sous-groupes paraboliques et généricité dans les groupes d'Artin-Tits de type sphérique ». Thesis, Rennes 1, 2018. http://www.theses.fr/2018REN1S022/document.
Texte intégralIn the first part of this thesis we study the genericity conjecture: In the Cayley graph of the mapping class group of a closed surface we look at a ball of large radius centered on the identity vertex, and at the proportion of pseudo-Anosov vertices among the vertices in this ball. The genericity conjecture states that this proportion should tend to one as the radius tends to infinity. We prove that it stays bounded away from zero and prove similar results for a large class of subgroups of the mapping class group. We also present analogous results for Artin--Tits groups of spherical type, knowing that in this case being pseudo-Anosov is analogous to being a loxodromically acting element. In the second part we provide results about parabolic subgroups of Artin-Tits groups of spherical type: The minimal standardizer of a curve on a punctured disk is the minimal positive braid that transforms it into a round curve. We give an algorithm to compute it in a geometrical way. Then, we generalize this problem algebraically to parabolic subgroups of Artin--Tits groups of spherical type. We also show that the intersection of two parabolic subgroups is a parabolic subgroup and that the set of parabolic subgroups forms a lattice with respect to inclusion. Finally, we define the simplicial complex of irreducible parabolic subgroups, and we propose it as the analogue of the curve complex for mapping class groups
Pittau, Lorenzo. « Le produit en couronne libre d'un groupe quantique compact par un groupe quantique d'automorphismes ». Thesis, Cergy-Pontoise, 2015. http://www.theses.fr/2015CERG0781/document.
Texte intégralIn this thesis, we define and study the free wreath product of a compact quantum group by a quantum automorphism group and, in this way, we generalize the previous notion of free wreath product by the quantum symmetric group introduced by Bichon.Our investigation is divided into two part. In the first, we define the free wreath product of a discrete group by a quantum automorphism group. We show how to describe its intertwiners by making use of decorated noncrossing partitions and from this, thanks to a result of Lemeux, we deduce the irreducible representations and the fusion rules. Then, we prove some properties of the operator algebras associated to this compact quantum group, such as the simplicity of the reduced C*-algebra and the Haagerup property of the von Neumann algebra.The second part is a generalization of the first one. We start by defining the notion of free wreath product of a compact quantum group by a quantum automorphism group. We generalize the description of the spaces of the intertwiners obtained in the discrete case and, by adapting a monoidal equivalence result of Lemeux and Tarrago, we find the irreducible representations and the fusion rules. Then, we prove some stability properties of the free wreath product operation. In particular, we find under which conditions two free wreath products are monoidally equivalent or have isomorphic fusion semirings. We also establish some analytic and algebraic properties of the dual quantum group and of the operator algebras associated to a free wreath product. As a last result, we prove that the free wreath product of two quantum automorphism groups can be seen as the quotient of a suitable quantum automorphism group
Hafassa, Boutheina. « Deux problèmes de contrôle géométrique : holonomie horizontale et solveur d'esquisse ». Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLS017/document.
Texte intégralWe study two problems arising from geometric control theory. The Problem I consists of extending the concept of horizontal holonomy group for affine manifolds. More precisely, we consider a smooth connected finite-dimensional manifold M, an affine connection ∇ with holonomy group H∇ and ∆ a smooth completely non integrable distribution. We define the ∆-horizontal holonomy group H∆∇ as the subgroup of H∇ obtained by ∇-parallel transporting frames only along loops tangent to ∆. We first set elementary properties of H∆∇ and show how to study it using the rolling formalism. In particular, it is shown that H∆∇ is a Lie group. Moreover, we study an explicit example where M is a free step-two homogeneous Carnot group with m≥2 generators, and ∇ is the Levi-Civita connection associated to a Riemannian metric on M, and show in this particular case that H∆∇ is compact and strictly included in H∇ as soon as m≥3. The Problem II is studying the modeling of the problem of solver sketch. This problem is one of the steps of a CAD/CAM software. Our goal is to achieve a well founded mathematical modeling and systematic the problem of solver sketch. The next step is to understand the convergence of the algorithm, to improve the results and to expand the functionality. The main idea of the algorithm is to replace first the points of the space of spheres by displacements (elements of the group) and then use a Newton's method on Lie groups obtained. In this thesis, we classified the possible displacements of the groups using the theory of Lie groups. In particular, we distinguished three sets, each set containing an object type: the first one is the set of points, denoted Points, the second is the set of lines, denoted Lines, and the third is the set of circles and lines, we note that ∧. For each type of object, we investigated all the possible movements of groups, depending on the desired properties. Finally, we propose to use the following displacement of groups for the displacement of points, the group of translations, which acts transitively on Lines ; for the lines, the group of translations and rotations, which is 3-dimensional and acts transitively (globally but not locally) on Lines ; on lines and circles, the group of anti-translations, rotations and dilations which has dimension 4 and acts transitively (globally but not locally) on ∧
Urech, Christian. « Subgroups of Cremona groups ». Thesis, Rennes 1, 2017. http://www.theses.fr/2017REN1S041/document.
Texte intégralThe Cremona group in n-variables Cr_n(C) is the group of birational transformations of the complex projective n-space. This thesis contributes to the research on Cremona groups through the study of certain classes of „large'' subgroups. In the first part we consider algebraic embeddings of Cr_2(C) into Cr_n(C). In particular, we describe geometrical properties of an embedding of Cr_2(C) into Cr_5(C) that was discovered by Gizatullin. We also classify all algebraic embeddings from Cr_2(C) into Cr_3(C), and we partially generalize this result to embeddings of Cr_n(C) into Cr_{n+1}(C). In a second part, we look at degree sequences of birational transformations of varieties over arbitrary fields. We show that there exist only countably many such sequences and we give new obstructions on the degree growth of automorphisms of affine n-space. In the third part, we classify subgroups of Cr_2(C) containing only elliptic elements, i.e. elements whose iterates are of bounded degree. From this we deduce in particular the Tits alternative for arbitrary subgroups of Cr_2(C). In the last part, we show that every finitely generated simple subgroup of Cr_2(C) is finite and, under the hypothesis of an unproven conjectural lemma, that a simple group can be embedded into Cr_2(C) if and only if it can be embedded into PGL_3(C)
Neman, Azadeh. « Propriétés combinatoires et modèle-théoriques des groupes ». Phd thesis, Université Claude Bernard - Lyon I, 2009. http://tel.archives-ouvertes.fr/tel-00679429.
Texte intégralIsenrich, Claudio Llosa. « Kähler groups and Geometric Group Theory ». Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:4a7ab097-4de5-4b72-8fd6-41ff8861ffae.
Texte intégralMiquel, Sebastien. « Arithméticité de sous-groupes discrets contenant un réseau horosphérique ». Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLS579/document.
Texte intégralLet G be a real algebraic group of real rank at least 2 and P a parabolic subgroup of G. We prove that any discrete subgroup of G that intersects the unipotent radical of P in a lattice is an arithmetic lattice of G, except maybe when G=SO(2,4n+2) and P is the stabilizer of an isotropic 2-plane. This provide a partial answer to a conjecture of Margulis that was already studied by Hee Oh. We also study the case where G is a product of several rank 1 groups, generalising results of Selberg, Benoist and Oh
Sert, Cagri. « Joint Spectrum and Large Deviation Principles for Random Products of Matrices ». Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLS500/document.
Texte intégralAfter giving a detailed introduction andthe presentation of an explicit example to illustrateour study in Chapter 1, we exhibit some general toolsand techniques in Chapter 2. Subsequently,- In Chapter 3, we prove the existence of a large deviationprinciple (LDP) with a convex rate function, forthe Cartan components of the random walks on linearsemisimple groups G. The main hypothesis is onthe support S of the probability measure in question,and asks S to generate a Zariski dense semigroup.- In Chapter 4, we introduce a limit object (a subsetof the Weyl chamber) that we associate to a boundedsubset S of G. We call this the joint spectrum J(S)of S. We study its properties and show that for asubset S generating a Zariski dense semigroup, J(S)is convex body, i.e. a convex compact subset of nonemptyinterior. We relate the joint spectrum withthe classical notion of joint spectral radius and therate function of LDP for random walks on G.- In Chapter 5, we introduce an exponential countingfunction for a nite S in G. We study its properties,relate it to joint spectrum of S and prove a denseexponential growth theorem.- In Chapter 6, we prove the existence of an LDPfor Iwasawa components of random walks on G. Thehypothesis asks for a condition of absolute continuityof the probability measure with respect to the Haarmeasure.- In Chapter 7, we develop some tools to tackle aquestion of Breuillard on the rigidity of spectral radiusof a random walk on a free group. We prove aweaker geometric rigidity result
Gilles, Alexis. « Représentations spinorielles pour les groupes Hermitiens ». Thesis, Université Côte d'Azur (ComUE), 2019. https://tel.archives-ouvertes.fr/tel-03177317.
Texte intégralWe study a particular case of maximal homomorphisms from a surface group into a Hermitian Lie group of tube type, which we call integral maximal.In the first part, we deal with the case when the Lie group is locally isomorphic to the group of isometries of the hyperbolic plane. In this case, integral maximal homomorphisms induce hyperbolizations of the initial surface and we relate them to spin structures on Riemann surfaces, that is to line bundles whose tensor power is isomorphic to the tensor product of the canonical bundle and a given divisor. Fixing such an integral maximal representation, we associate to each geodesic an integer modulo a fixed integer, its translation number. We then give, when the surface is closed, the asymptotic growth of the number of geodesics with given translation number.In the second part, we study the general case of an arbitrary Hermitian Lie group of tube type. Fixing a specific finite cover of such a Lie group, we call the representations into the cover spin representations and we show that the space of integral maximal spin representations is homeomorphic to the product of the space of maximal representations into the initial Lie group and an explicit subspace of homomorphisms from the first homology group with integer coefficient of the unit tangent bundle of the surface into a finite cyclic group.The homeomorphism we construct is moreover mapping class group equivariant so that we naturally study the action of the mapping class group on the space of homomorphisms from the first homology group of the unit tangent bundle of the surface into a finite cyclic group.Finally we apply these results to count the number of connected components of diagonal representations into some Lie groups locally isomorphic to the symplectic group
Toinet, Emmanuel. « Automorphisms of right-angled Artin groups ». Thesis, Dijon, 2012. http://www.theses.fr/2012DIJOS003.
Texte intégralThe 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
Carette, Mathieu. « The automorphism group of accessible groups and the rank of Coxeter groups ». Doctoral thesis, Universite Libre de Bruxelles, 2009. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210261.
Texte intégralVia la théorie de Bass-Serre, un groupe agissant sur un arbre est doté d'une structure algébrique particulière, généralisant produits amalgamés et extensions HNN. Le groupe est en fait déterminé par certaines données combinatoires découlant de cette action, appelées graphes de groupes.
Un cas particulier de cette situation est celle d'un produit libre. Une présentation du groupe d'automorphisme d'un produit libre d'un nombre fini de groupes librement indécomposables en termes de présentation des facteurs et de leurs groupes d'automorphismes a été donnée par Fouxe-Rabinovich. Il découle de son travail que si les facteurs et leurs groupes d'automorphismes sont de présentation finie, alors le groupe d'automorphisme du produit libre est de présentation finie. Une première partie de cette thèse donne une nouvelle preuve de ce résultat, se basant sur le langage des actions de groupes sur les arbres.
Un groupe accessible est un groupe de type fini déterminé par un graphe de groupe fini dont les groupes d'arêtes sont finis et les groupes de sommets ont au plus un bout, c'est-à-dire qu'ils ne se décomposent pas en produit amalgamé ni en extension HNN sur un groupe fini. L'étude du groupe d'automorphisme d'un groupe accessible est ramenée à l'étude de groupes d'automorphismes de produits libres, de groupes de twists de Dehn et de groupes d'automorphismes relatifs des groupes de sommets. En particulier, on déduit un critère naturel pour que le groupe d'automorphismes d'un groupe accessible soit de présentation finie, et on donne une caractérisation des groupes accessibles dont le groupe d'automorphisme externe est fini. Appliqués aux groupes hyperboliques de Gromov, ces résultats permettent d'affirmer que le groupe d'automorphismes d'un groupe hyperbolique est de présentation finie, et donnent une caractérisation précise des groupes hyperboliques dont le groupe d'automorphisme externe est fini.
Enfin, on étudie le rang des groupes de Coxeter, c'est-à-dire le cardinal minimal d'un ensemble générateur pour un groupe de Coxeter donné. Plus précisément, on montre que si les composantes de la matrice de Coxeter déterminant un groupe de Coxeter sont suffisamment grandes, alors l'ensemble générateur standard est de cardinal minimal parmi tous les ensembles générateurs.
Doctorat en Sciences
info:eu-repo/semantics/nonPublished
pl, tomasz@uci agh edu. « A Lie Group Structure on Strict Groups ». ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi1076.ps.
Texte intégralBouette, Margot. « Sur la croissance des automorphismes des groupes de Baumslag-Soliltar ». Thesis, Rennes 1, 2016. http://www.theses.fr/2016REN1S053/document.
Texte intégralA Baumslag-Solitar group is a group given by the group presentation, for p and q non-zero integers. For each Baumslag-Solitar group we consider a deformation space D p, q which is analogue of Culler-Vogtmann's Outer Space. The action of Aut(BS(p, q)) on D p, q induces an action of the outer automorphism group Out(BS(pq)). We will focus on the case where p divides q. Firstly, we will show that every automorphism of BS(p,pn) is reducible which means that we can find a BS(p,pn)-tree T and a map that leaves a certain type of subforest invariant. This result leads us to introduce a new deformation space and a classification of the automorphisms of BS(p,pn) in three types : elliptic, parabolic or hyperbolic. Using this classification, we will show that the growth of every automorphism of BS(p,pn) is exponential or polynomial
Coutts, Hannah Jane. « Topics in computational group theory : primitive permutation groups and matrix group normalisers ». Thesis, University of St Andrews, 2011. http://hdl.handle.net/10023/2561.
Texte intégralWeber, Harald. « Group rings and twisted group rings for a series of p-groups ». [S.l. : s.n.], 2003. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB10761310.
Texte intégralLichacz, Frederick Michael John Carleton University Dissertation Psychology. « "The effects of perceived collective efficacy on social loafing." ». Ottawa, 1992.
Trouver le texte intégralAndrus, Ivan B. « Matrix Representations of Automorphism Groups of Free Groups ». Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd856.pdf.
Texte intégralAmirou, Yanis. « Les bornes uniformes pour la longueur des mots et groupe des éléments bornés ». Thesis, Université Paris sciences et lettres, 2020. http://www.theses.fr/2020UPSLE004.
Texte intégralThis thesis studies the following question: given a finitely generated group G which are the elements whose length is uniformly bounded for any word-length in G ?. This work introduces and studies the subgroup Gbound consisting of elements of uniformly bounded word-length with respect to any generating set of G. We show that this subgroup is characteristic, that it is finite when the group G is virtually abelian, that it is trivial when the group is non-elementary hyperbolic. We show that for every finite group A, there exists an infinite group G such that Gbound = A. It is shown that for nilpotent groups of class 2, Gbound is the largest finite subgroup of the lower central series. We also study a generalization of Gbound by making it depend on the cardinals of the generating sets considered
Peterson, Aaron. « Pipe diagrams for Thompson's Group F / ». Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1959.pdf.
Texte intégralMartin, Alexandre. « Topologie et géométrie des complexes de groupes à courbure négative ou nulle ». Phd thesis, Université de Strasbourg, 2013. http://tel.archives-ouvertes.fr/tel-00821442.
Texte intégralLacoste, Cyril. « Dimension géométrique propre et espaces classifiants des groupes arithmétiques ». Thesis, Rennes 1, 2018. http://www.theses.fr/2018REN1S010/document.
Texte intégralIn this thesis we study classifying spaces for proper actions of a discrete group. The proper geometric dimension is the smallest dimension of such a space (which always exists). Firstly we prove that for a lattice in the group of isometries of a symmetric space of the non-compact type without euclidean factors, the proper geometric dimension equals the virtual cohomological dimension. The proof relies on the fact that if the space has real rank at least 2 and if the lattice is irreducible, then it is arithmetic. In this case, the virtual cohomological dimension can be explicitly computed with the rational rank. Secondly we want to construct concretely classifying spaces for proper actions of minimal dimension. We try to adapt the construction of the "well-rounded retract" of Soulé and Ash (in the case SL(n,Z)) for the arithmetic groups Sp(2n,Z) and Aut(SL(n,Z)). We show that in fact this construction does not extend
Yalcinkaya, Sukru. « Black Box Groups And Related Group Theoretic Constructions ». Phd thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/12608546/index.pdf.
Texte intégrals ``Classical Involution Theorem'
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as a model in the final recognition algorithm and we propose an algorithm which constructs all root SL_2(q)-subgroups corresponding to the nodes in the extended Dynkin diagram, that is, our approach is the construction of the the extended Curtis - Phan - Tits presentation of the finite simple groups of Lie type of odd characteristic which further yields the construction of all subsystem subgroups which can be read from the extended Dynkin diagram. In this thesis, we present this algorithm for the groups PSL_n(q) and PSU_n(q). We also present an algorithm which determines whether the p-core (or ``unipotent radical'
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) O_p(G) of a black box group G is trivial or not where G/O_p(G) is a finite simple classical group of Lie type of odd characteristic p answering a well-known question of Babai and Shalev. The algorithms presented in this thesis have been implemented extensively in the computer algebra system GAP.
Weinberg, Haim. « Group analysis, large groups and the Internet unconscious ». Thesis, Manchester Metropolitan University, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.430683.
Texte intégralLucchini, Arteche Giancarlo. « Groupe de Brauer des espaces homogènes à stabilisateur non connexe et applications arithmétiques ». Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112207/document.
Texte intégralThis thesis studies the unramified Brauer group of homogeneous spaces with non connected stabilizer and its arithmetic applcations. In particular, we develop different formulas of algebraic and/or arithmetic nature allowing an explicit calculation, both over a finite field and over a field of characteristic 0, of the algebraic part of the unramified Brauer group of a homogeneous space G\G' under a semisimple simply connected linear group G' with finite stabilizer G. We also give examples of the calculations that can be done with these formulas. For achieving this goal, we prove beforehand (using a theorem of Gabber on alterations) a result describing the prime-to-p torsion part of the unramified Brauer group of a smooth and geometrically integral variety V over a global field of characteristic p or over a finite field by evaluating the elements of Br(V) at its local points. The formulas for finite stabilizers are later generalised to the case where the stabilizer G is any linear algebraic group using a reduction of the Galois cohomology of the group G to that of a certain finite subquotient.Finally, for a global field K and a finite solvable K-group G, we show under certain hypotheses concerning the extension splitting G that the homogeneous space V:=G\G' with G' a semi-simple simply connected K-group has the weak approximation property (the hypotheses ensuring the triviality of the unramified algebraic Brauer group). We use then a more precise version of this result to prove the Hasse principle forhomogeneous spaces X under a semi-simple simply connected K-group G' with finite solvable geometric stabilizer, under certain hypotheses concerning the K-kernel (or K-lien) defined by X
Labruère-Chazal, Catherine. « Groupes d’Artin et mapping class groups ». Dijon, 1997. http://www.theses.fr/1997DIJOS018.
Texte intégralBujard, Cédric. « Finite subgroups of the extended Morava stabilizer groups ». Thesis, Strasbourg, 2012. http://www.theses.fr/2012STRAD010/document.
Texte intégralThe problem addressed is the classification up to conjugation of the finite subgroups of the (classical) Morava stabilizer group S_n and the extended Morava stabilizer group G_n(u) associated to a formal group law F of height n over the field F_p of p elements. A complete classification in S_n is provided for any positive integer n and prime p. Furthermore, we show that the classification in the extended group also depends on F and its associated unit u in the ring of p-adic integers. We provide a theoretical framework for the classification in G_n(u), we give necessary and sufficient conditions on n, p and u for the existence in G_n(u) of extensions of maximal finite subgroups of S_n by the Galois group of F_{p^n} over F_p, and whenever such extension exist we enumerate their conjugacy classes. We illustrate our methods by providing a complete and explicit classification in the case n=2
Menezes, Nina E. « Random generation and chief length of finite groups ». Thesis, University of St Andrews, 2013. http://hdl.handle.net/10023/3578.
Texte intégralDaboussi, Asma. « Le comportement innovant au travail : le rôle de la justice du groupe ». Thesis, Pau, 2018. http://www.theses.fr/2018PAUU2047/document.
Texte intégralIn this research, we examine the effect of the interpersonal justice of the working group on innovative behaviors. First, we question the mediating role played by group identification in this relationship at the individual level of analysis. Next, we examine the moderating role of reflexivity on this mediation mechanism at the same level of analysis. Finally, we question the role of group identification and collective engagement at work as serial mediators of the effects of group interpersonal justice on innovative behaviors at the level of the analysis group in terms of climates of justice. Two studies were conducted to test our model. The first study was conducted among 204 Tunisian hospital employees. His results show that the indirect effect of the interpersonal justice of the working group on innovative behaviors, through identification with the group, will be moderated by the group's reflexivity. The second study was conducted with 528 students in 114 working groups. The data from this study were tested using a multi-level structural equation modeling approach. His results show the impact of the group's interpersonal justice climate on innovative individual behaviors through group identification and collective engagement at work. Theoretical and practical implications will be discussed
Fossas, Ariadna. « Sur la géométrie et la combinatoire du groupe T de Thompson ». Thesis, Grenoble, 2012. http://www.theses.fr/2012GRENM104/document.
Texte intégralThis PhD thesis is concerned with Thompson's group T. This infinite, finitely presented, simple group is usually seen as a subgroup of the group of dyadic, piecewise linear, orientation-preserving homeomorphisms of the unit circle (piecewise linear T). However, T can also be identified to: 1.- a group of equivalence classes of balanced pairs of finite binary trees (combinatorial T), 2.- a subgroup of piecewise PSL(2,Z), orientation-preserving homeomorphisms of the projective real line (piecewise projective T), and 3.- the asymptotic mapping class group of a fattened complete trivalent tree in the hyperbolic plane (modular T). The first result shows that the canonical copy of PSL(2,Z) obtained from the piecewise projective T is a non-distorted subgroup of T. For this, one carries over this subgroup to obtain a characterization into combinatorial T, from which the word length of its elements can be estimated. Then, non-distortion follows from the metric properties of T established by Burillo-Cleary-Stein-Taback. As a corollary, T has non-distorted subgroups isomorphic to the free non-abelian group of rank 2. Furthermore, PSL(2,Z) is also explicitly given in the piecewise linear form.The second result uses modular T to state that there are exactly f(n) conjugacy classes of elements of order n, where f is the Euler function. Given a torsion element t of T of order n, a dyadic triangulation of the Poincaré disc which is invariant under the action of t modulo a convex polygon with n sides is found.The third result constructs a minimal simply-connected contractible cellular complex C on which the group T acts by automorphisms. The automorphism group of C is essentially T itself (strictly speaking it is an extension of T by the group of order 2). The cellular complex C can be seen as a generalization of Stasheff's associahedra for an infinitely sided convex polygon. The action of T on C is transitive on vertices and edges and, plus generally, on associahedral type cells in all dimensions.The final part deals with the first steps of a research project. One uses the geometric interpretation of the 1-skeleton of C in term of dyadic triangulations of the Poincaré disc to define a geometric boundary at infinity. Although the 1-skeleton of C is proved not to be hyperbolic, the construction imitates Gromov's construction of the boundary of hyperbolic spaces, and allows the description of the nature of some of the boundary points
Edwards, Quinton T. « Member perceptions and the relationship between leader behavior, gender and group climate / ». free to MU campus, to others for purchase, 1999. http://wwwlib.umi.com/cr/mo/fullcit?p9953856.
Texte intégralGeorge, Timothy Edward. « Symmetric representation of elements of finite groups ». CSUSB ScholarWorks, 2006. https://scholarworks.lib.csusb.edu/etd-project/3105.
Texte intégralKinney, Dell E. « A workbook for small group ministry ». Theological Research Exchange Network (TREN), 1985. http://www.tren.com.
Texte intégralHoeffner, Mark Alan. « A team ministry handbook ». Theological Research Exchange Network (TREN), 1986. http://www.tren.com.
Texte intégralBajpai, Jitendra. « Omnipotence of surface groups ». Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=100245.
Texte intégralApproximativement, on peut dire qu'un groupe G est omnipotent si les ordresquantité d'élements d'une quantite finie d'elements peuvent etre controles independamment dans unquotient fini de Nous avons prouve que 7Ti(5) est omnipotent quand S estune surface autre que P2, T2 ou K2. Cela generalise le fait, deja connu, que lesgroupes libres sont omnipotents. La preuve utilise principalement des techniquesgeometriques impliquant des graphiques d'espaces ayant pour but de retractercertains espaces en graphiques.
Giroux, Yves. « Degenerate enveloping algebras of low-rank groups ». Thesis, McGill University, 1986. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=74026.
Texte intégralGarotta, Odile. « Suites presque scindées d'algèbres intérieures et algèbres intérieures des suites presque scindées ». Paris 7, 1988. http://www.theses.fr/1988PA077184.
Texte intégralMiyazaki, Takunari. « Polynomial-time computation in matrix groups / ». view abstract or download file of text, 2000. http://wwwlib.umi.com/cr/uoregon/fullcit?p9955920.
Texte intégralTypescript. Includes vita and abstract. Includes bibliographical references (leaves 89-93). Also available for download via the World Wide Web; free to University of Oregon users. Address: http://wwwlib.umi.com/cr/uoregon/fullcit?p9955920.
Carini, Barbara Jean. « Common fate and ingroup bias in the minimal intergroup paradigm / ». view abstract or download file of text, 1999. http://wwwlib.umi.com/cr/uoregon/fullcit?p9955915.
Texte intégralTypescript. Includes vita and abstract. Includes bibliographical references (leaves 89-92). Also available for download via the World Wide Web; free to University of Oregon users. Address: http://wwwlib.umi.com/cr/uoregon/fullcit?p9955915.
Vallino, Daniele. « Algebraic and definable closure in free groups ». Thesis, Lyon 1, 2012. http://www.theses.fr/2012LYO10090/document.
Texte intégralIn Chapter 1 we give basics on combinatorial group theory, starting from free groups and proceeding with the fundamental constructions: free products, amalgamated free products and HNN extensions. We outline a synthesis of Bass-Serre theory, preceded by a survey on Cayley graphs and graphs of groups. After proving the main theorem of Bass-Serre theory, we present its application to the proof of Kurosh subgroup theorem. Subsequently we recall main definitions and properties of hyperbolic spaces. In Section 1.4 we define algebraic and definable closures and recall a few other notions of model theory related to saturation and homogeneity. The last section of Chapter 1 is devoted to asymptotic cones. In Chapter 2 we prove a theorem similar to Bestvina-Paulin theorem on the limit of a sequence of actions on hyperbolic graphs. Our setting is more general: we consider Bowditch-acylindrical actions on arbitrary hyperbolic graphs. We prove that edge stabilizers are (finite bounded)-by-abelian, that tripod stabilizers are finite bounded and that unstable edge stabilizers are finite bounded. In Chapter 3 we introduce the essential notions on limit groups, shortening argument and JSJ decompositions. In Chapter 4 we present the results on constructibility of a torsion-free hyperbolic group from the algebraic closure of a subgroup. Also we discuss constructibility of a free group from the existential algebraic closure of a subgroup. We obtain a bound to the rank of the algebraic and definable closures of subgroups in torsion-free hyperbolic groups. In Section 4.2 we prove some results about the position of algebraic closures in JSJ decompositions of torsion-free hyperbolic groups and other results for free groups. Finally, in Chapter 5 we answer the question about equality between algebraic and definable closure in a free group. A positive answer has been given for a free group F of rank smaller than 3. Instead, for free groups of rank strictly greater than 3 we found some counterexample. For the free group of rank 3 we found a necessary condition on the form of a possible counterexample
Genevois, Anthony. « Cubical-like geometry of quasi-median graphs and applications to geometric group theory ». Thesis, Aix-Marseille, 2017. http://www.theses.fr/2017AIXM0569/document.
Texte intégralThe class of quasi-median graphs is a generalisation of median graphs, or equivalently of CAT(0) cube complexes. The purpose of this thesis is to introduce these graphs in geometric group theory. In the first part of our work, we extend the definition of hyperplanes from CAT(0) cube complexes, and we show that the geometry of a quasi-median graph essentially reduces to the combinatorics of its hyperplanes. In the second part, we exploit the specific structure of the hyperplanes to state combination results. The main idea is that if a group acts in a suitable way on a quasi-median graph so that clique-stabilisers satisfy some non-positively curved property P, then the whole group must satisfy P as well. The properties we are interested in are mainly (relative) hyperbolicity, (equivariant) lp-compressions, CAT(0)-ness and cubicality. In the third part, we apply our general criteria to several classes of groups, including graph products, Guba and Sapir's diagram products, some wreath products, and some graphs of groups. Graph products are our most natural examples, where the link between the group and its quasi-median graph is particularly strong and explicit; in particular, we are able to determine precisely when a graph product is relatively hyperbolic
Docherty, Pamela Jane. « Central extensions of Current Groups and the Jacobi Group ». Thesis, University of Edinburgh, 2012. http://hdl.handle.net/1842/7838.
Texte intégralWalton, Jacqueline. « Representing the quotient groups of a finite permutation group ». Thesis, University of Warwick, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340088.
Texte intégralWilson, James B. « Group decompositions, Jordan algebras, and algorithms for p-groups / ». Connect to title online (Scholars' Bank) Connect to title online (ProQuest), 2008. http://hdl.handle.net/1794/8302.
Texte intégralTypescript. Includes vita and abstract. Includes bibliographical references (leaves 121-125). Also available online in Scholars' Bank; and in ProQuest, free to University of Oregon users.
Wilson, James B. 1980. « Group decompositions, Jordan algebras, and algorithms for p-groups ». Thesis, University of Oregon, 2008. http://hdl.handle.net/1794/8302.
Texte intégralFinite p -groups are studied using bilinear methods which lead to using nonassociative rings. There are three main results, two which apply only to p -groups and the third which applies to all groups. First, for finite p -groups P of class 2 and exponent p the following are invariants of fully refined central decompositions of P : the number of members in the decomposition, the multiset of orders of the members, and the multiset of orders of their centers. Unlike for direct product decompositions, Aut P is not always transitive on the set of fully refined central decompositions, and the number of orbits can in fact be any positive integer. The proofs use the standard semi-simple and radical structure of Jordan algebras. These algebras also produce useful criteria for a p -group to be centrally indecomposable. In the second result, an algorithm is given to find a fully refined central decomposition of a finite p -group of class 2. The number of algebraic operations used by the algorithm is bounded by a polynomial in the log of the size of the group. The algorithm uses a Las Vegas probabilistic algorithm to compute the structure of a finite ring and the Las Vegas MeatAxe is also used. However, when p is small, the probabilistic methods can be replaced by deterministic polynomial-time algorithms. The final result is a polynomial time algorithm which, given a group of permutations, matrices, or a polycyclic presentation; returns a Remak decomposition of the group: a fully refined direct decomposition. The method uses group varieties to reduce to the case of p -groups of class 2. Bilinear and ring theory methods are employed there to complete the process.
Adviser: William M. Kantor
BORATTO, LUDOVICO. « Group recommendation with automatic detection and classification of groups ». Doctoral thesis, Università degli Studi di Cagliari, 2012. http://hdl.handle.net/11584/266072.
Texte intégralMaurer, Kendall Nicole. « Minimally Simple Groups and Burnside's Theorem ». University of Akron / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=akron1271041194.
Texte intégralSewell, Cynthia M. (Cynthia Marie). « The Eulerian Functions of Cyclic Groups, Dihedral Groups, and P-Groups ». Thesis, University of North Texas, 1992. https://digital.library.unt.edu/ark:/67531/metadc500684/.
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