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1

Weber, 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.

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2

Wilson, 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.

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Thesis (Ph. D.)--University of Oregon, 2008.<br>Typescript. 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.
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3

Wilson, James B. 1980. "Group decompositions, Jordan algebras, and algorithms for p-groups." Thesis, University of Oregon, 2008. http://hdl.handle.net/1794/8302.

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viii, 125 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.<br>Finite 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
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4

Blackburn, Simon R. "Group enumeration." Thesis, University of Oxford, 1992. http://ora.ox.ac.uk/objects/uuid:caac5ed0-44e3-4bec-a97e-59e11ea268af.

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The thesis centres around two problems in the enumeration of p-groups. Define f<sub>φ</sub>(p<sup>m</sup>) to be the number of (isomorphism classes of) groups of order p<sup>m</sup> in an isoclinism class φ. We give bounds for this function as φ is fixed and m varies and as m is fixed and φ varies. In the course of obtaining these bounds, we prove the following result. We say a group is reduced if it has no non-trivial abelian direct factors. Then the rank of the centre Z(P) and the rank of the derived factor group P|P' of a reduced p-group P are bounded in terms of the orders of P|Z(P)P' and
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5

Welch, Amanda Renee. "Characterizing Zero Divisors of Group Rings." Thesis, Virginia Tech, 2015. http://hdl.handle.net/10919/52949.

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The Atiyah Conjecture originates from a paper written 40 years ago by Sir Michael Atiyah, a famous mathematician and Fields medalist. Since publication of the paper, mathematicians have been working to solve many questions related to the conjecture, but it is still open. The conjecture is about certain topological invariants attached to a group G. There are examples showing that the conjecture does not hold in general. These examples involve something like the lamplighter group. We are interested in looking at examples where this is not the case. We are interested in the specific case where G
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6

Schoemann, Claudia. "Représentations unitaires de U(5) p-adique." Thesis, Montpellier 2, 2014. http://www.theses.fr/2014MON20101.

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Nous étudions les représentations complexes, induites par l'induction parabolique, du groupe U(5), défini sur un corps local non-archimedean de caractéristique 0. C'est Qp ou une extension finie de Qp .On parle des 'corps p-adiques'. Soit F un corps p-adique. Soit E : F une extension de corps de degré 2. Soit Gal(E : F ) = {id, σ}le groupe de Galois. On écrit σ(x) = overline{x} forall x ∈ E. Soit | |p la norme p-adique de E. Soient E* = E {0} et E 1 = {x ∈ E | xoverline{x}= 1} .U (5) a trois sous-groupes paraboliques propres. Soit P0 le sous-groupe parabolique minimal et soientP1 et P2 les deu
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7

Johansson, Isak. "Themod p Cohomology of the ProjectiveUnitary Group." Thesis, KTH, Matematik (Avd.), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-229678.

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We begin with an introduction to spectral sequences, in particular, we present how a spectral sequence can arise from an exact couple, state and construct the Serre spectral sequence, mention some of the properties of the mod p cohomology and state the dual Eilenberg-Moore spectral sequence. Fiber bundles, together with the concept of pullback bundles, principal bundles, classifying spaces and Chern classes are also discussed to lay a foundation for our results. We compute the mod p cohomology of the projective unitary group. Finally, we compute the mod 3 cohomology of the classifying space of
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8

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
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9

Crestani, Eleonora. "Monotone 2-Groups." Doctoral thesis, Università degli studi di Padova, 2009. http://hdl.handle.net/11577/3426499.

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The generation problems are very interesting in the theory of finite groups. These problems can often be reduced to problems on the generators of p-groups. This has led to an increasing interest on the problems of generation in p-groups and on the study of classes of p-groups in which generators satisfy some precise conditions. In particular, it is very interesting the class of finite p-groups G with the property that the rank of G is equal to the number of generators of G (i.e. the number of generators of every subgroup of G is smaller than or equal to the number of generators of G). Fo
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10

Schwingel, Ruth. "Two matrix group algorithms with applications to computing the automorphism group of a finite p-group." Thesis, Queen Mary, University of London, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.313397.

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11

Wald, Christian. "A p-adic quantum group and the quantized p-adic upper half plane." Doctoral thesis, Humboldt-Universität zu Berlin, 2017. http://dx.doi.org/10.18452/18201.

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Eine Quantengruppe ist eine nichtkommutative und nichtkokommutative Hopfalgebra. In dieser Arbeit konstruieren wir eine Deformation der lokalkonvexen Hopfalgebra der lokalanalytischen Funktionen auf GL(2,O), wobei O hier der Bewertungsring einer endlichen Erweiterung der p-adischen Zahlen ist. Wir zeigen, dass diese Deformation eine nichtkommutative, nichtkokommutative lokalkonvexe Hopfalgebra, also eine p-adische Quantengruppe, ist. Unser Hauptresultat ist, dass das starke Dual dieser Deformation eine Fréchet-Stein Algebra ist. Dies bedeutet, dass das starke Dual ein projektiver Limes von noe
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12

TOSSICI, DAJANO. "Group schemes of order p^2 and extension of Z/p^2Z-torsors." Doctoral thesis, Università di Roma Tre, 2008. http://hdl.handle.net/10281/20961.

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In this work we study finite group schemes over a discrete valuation ring of unequal characteristic which are isomorphic to the group scheme of p^2-roots of unity, where p is the characteristic of the residue field of R, on the generic fiber. And we apply this to the study of the degeneration, from caracteristic p to caracteristic 0, of torsors under the cyclic group of order p^2.
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13

Withrow, Camron Michael. "Left Orderable Residually Finite p-groups." Thesis, Virginia Tech, 2014. http://hdl.handle.net/10919/24782.

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Let p and q be distinct primes, and G an elementary amenable group that is a residually finite p-group and a residually finite q-group. We conjecture that such groups G are left orderable. In this paper we show some results which came as attempts to prove this conjecture. In particular we give a condition under which split extensions of residually finite p-groups are again residually finite p-groups. We also give an example which shows that even for elementary amenable groups, it is not sufficient for biorderablity that the group be a residually finite p-group and a residually finite q-group.<
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14

Sewell, 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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In 1935, Philip Hall developed a formula for finding the number of ways of generating the group of symmetries of the icosahedron from a given number of its elements. In doing so, he defined a generalized Eulerian function. This thesis uses Hall's generalized Eulerian function to calculate generalized Eulerian functions for specific groups, namely: cyclic groups, dihedral groups, and p- groups.
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15

Eisele, Florian [Verfasser]. "Group rings over the p-Adic integers / Florian Eisele." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2012. http://d-nb.info/1022616773/34.

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16

Croome, Sarah B. "p-Group Codegree Sets and Nilpotence Class." Kent State University / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=kent1554462855786456.

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17

Feldmann, Mark [Verfasser], and Peter [Akademischer Betreuer] Schneider. "p-adic Weil group representations / Mark Feldmann ; Betreuer: Peter Schneider." Münster : Universitäts- und Landesbibliothek Münster, 2018. http://d-nb.info/1168324815/34.

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18

Barker, Nathan. "Topics in algebra : the Higman-Thompson group G b2 s, b1 s and Beauville p-groups." Thesis, University of Newcastle upon Tyne, 2014. http://hdl.handle.net/10443/2648.

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This thesis consists of two parts. Part I of this thesis is concerned with the Higman-Thompson group G2,1. We review and apply Definitions, Lemmas and Theorems described in a series of lectures delivered by Graham Higman during a visit to the Australian National University from July 1973 to October 1973 on a family of finitely presented infinite groups Gn,r for n 2 and r 1. This thesis will concentrate on the group G2,1 (otherwise know as Thompson’s group V). We give a brief account of the history of the Higman-Thompson group G2,1, we clarify the proof of the conjugacy problem for elements in
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19

Djabri, Zafer M. "P-descent on elliptic curves over number fields." Thesis, University of Kent, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.310161.

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20

Ives-Allison, Nicole D. "P stones and provos : group violence in Northern Ireland and Chicago." Thesis, University of St Andrews, 2015. http://hdl.handle.net/10023/6925.

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Although the government of the United States of America was established to protect the rights to life, liberty and the pursuit of happiness among all American citizens, this thesis argues intractable gang violence in inner-city Chicago has persistently denied these rights, in turn undermining fundamental (and foundational) American political values. Thus, gang violence can be argued to represent a threat to both civil order and state legitimacy. Yet, where comparable (and generally lower) levels of community-level violence in Northern Ireland garnered the sustained attention and direct involve
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21

Vaintrob, Dmitry. "Mirror symmetry and the K theory of a p-adic group." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/104578.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 59-61).<br>Let G be a split, semisimple p-adic group. We construct a derived localization functor Loc : ... from the compactified category of [BK2] associated to G to the category of equivariant sheaves on the Bruhat-Tits building whose stalks have finite-multiplicity isotypic components as representations of the stabilizer. Our construction is motivated by the "coherent-constructible correspondence" functor in toric mirr
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22

Decker, Erin. "On the construction of groups with prescribed properties." Diss., Online access via UMI:, 2008.

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23

Chinner, Trinity. "Elliptic Tori in p-adic Orthogonal Groups." Thesis, Université d'Ottawa / University of Ottawa, 2021. http://hdl.handle.net/10393/42759.

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In this thesis, we classify up to conjugacy the maximal elliptic toral subgroups of all special orthogonal groups SO(V), where (q,V) is a 4-dimensional quadratic space over a non-archimedean local field of odd residual characteristic. Our parameterization blends the abstract theory of Morris with a generalization of the practical work performed by Kim and Yu for Sp(4). Moreover, we compute an explicit Witt basis for each such torus, thereby enabling its concrete realization as a set of matrices embedded into the group. This work can be used explicitly to construct supercuspidal representa
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24

Hauseux, Julien. "Extensions entre séries principales p-adiques et modulo p d'un groupe réductif p-adique déployé." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112411/document.

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Cette thèse est une contribution à l'étude des représentations p-adiques (c'est-à-dire continues unitaires sur des espaces de Banach p-adiques) et modulo p (c'est-à-dire lisses sur un corps fini de caractéristique p) d'un groupe réductif p-adique déployé G.Nous déterminons les extensions entre séries principales p-adiques et modulo p de G Pour cela, nous calculons le delta-foncteur H•OrdB des parties ordinaires dérivées d'Emerton relatif à un sous-groupe de Borel sur une série principale en utilisant une filtration de Bruhat.Nous déterminons également les extensions d'une série principale par
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25

Skabelund, Dane Christian. "Character Tables of Metacyclic Groups." BYU ScholarsArchive, 2013. https://scholarsarchive.byu.edu/etd/3913.

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We show that any two split metacyclic groups with the same character tables are isomorphic. We then use this to show that among metacyclic groups that are either 2-groups or are of odd order divisible by at most two primes, that the dihedral and generalized quaternion groups of order 2^n, n = 3, are the only pairs that have the same character tables.
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26

Blue, Meredith Patricia. "Generic Galois extensions for groups or order p³ /." Digital version accessible at:, 2000. http://wwwlib.umi.com/cr/utexas/main.

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27

Kennedy, Chelsea Lorraine. "Total Character Groups." BYU ScholarsArchive, 2012. https://scholarsarchive.byu.edu/etd/3313.

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The total character of a finite group G is the sum of the irreducible characters of G. When the total character of a finite group can be written as a monic polynomial with integer coefficients in an irreducible character of G, we say that G is a total character group. In this thesis we examine the total character of the dicyclic group of order 4n, the non-abelian groups of order p^3, and the symmetric group on n elements for all n ≥ 1. The dicyclic group of order 4n is a total character group precisely when n is congruent to 2 or 3 mod 4, and the associated polynomial is a sum of Chebyshev pol
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28

Ricciotti, Diego. "Regularity of solutions of the p-Laplace equation in the Heisenberg group." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amslaurea.unibo.it/5708/.

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29

Schubert, Luke. "Spectral properties of the Laplacian on p-forms on the Heisenberg group /." Title page, contents and abstract only, 1997. http://web4.library.adelaide.edu.au/theses/09PH/09phs384.pdf.

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30

Lechner, Sabine [Verfasser], and Annette [Akademischer Betreuer] Huber. "A comparison of locally analytic group cohomology and Lie algebra cohomology for p-adic Lie groups = Ein Vergleich lokal analytischer Gruppenkohomologie und Liealgebrenkohomologie für p-adische Liegruppen." Freiburg : Universität, 2011. http://d-nb.info/112346314X/34.

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31

Kahn, Eric B. "THE GENERALIZED BURNSIDE AND REPRESENTATION RINGS." UKnowledge, 2009. http://uknowledge.uky.edu/gradschool_diss/707.

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Making use of linear and homological algebra techniques we study the linearization map between the generalized Burnside and rational representation rings of a group G. For groups G and H, the generalized Burnside ring is the Grothendieck construction of the semiring of G × H-sets with a free H-action. The generalized representation ring is the Grothendieck construction of the semiring of rational G×H-modules that are free as rational H-modules. The canonical map between these two rings mapping the isomorphism class of a G-set X to the class of its permutation module is known as the linearizati
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32

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
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33

Tallapally, Venkatesham. "Colloidal Synthesis and Photophysical Characterization of Group IV Alloy and Group IV-V Semiconductors: Ge1-xSnx and Sn-P Quantum Dots." VCU Scholars Compass, 2018. https://scholarscompass.vcu.edu/etd/5568.

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Nanomaterials, typically less than 100 nm size in any direction have gained noteworthy interest from scientific community owing to their significantly different and often improved physical properties compared to their bulk counterparts. Semiconductor nanoparticles (NPs) are of great interest to study their tunable optical properties, primarily as a function of size and shape. Accordingly, there has been a lot of attention paid to synthesize discrete semiconducting nanoparticles, of where Group III-V and II-VI materials have been studied extensively. In contrast, Group IV and Group IV-V based n
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34

Gonda, Jessica Lynn. "Subgroups of Finite Wreath Product Groups for p=3." University of Akron / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=akron1460027790.

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35

Farris, Lindsey. "Normal p-Complement Theorems." Youngstown State University / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1525865906237554.

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36

Ward, Robert M. "Modelling of silicon-germanium alloy heterostructures using double group formulation of k . p theory." Thesis, Imperial College London, 2012. http://hdl.handle.net/10044/1/9757.

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Silicon-Germanium alloy heterostructures offer the most viable opportunity to integrate electronics with optoelectronic devices for widespread commercial application. Indeed Germanium rich devices may be designed for application around 1.5 m by preying on the direct-gap energy of 890meV. Low power optical modulators operating, under the quantum confined Stark effect, at wavelength bands used in 3rd generation fibre optic communication channels are developed in this thesis from a theoretical perspective. An investigation into strained Germanium rich quantum well structures was performed, reveal
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37

Belford, Alexander. "A seismic sequence stratigraphic study of the 'Western Group Sub-basin' in permits WA-128-P and WA-211-P, Bonaparte Gulf /." Title page, contents and abstract only, 1989. http://web4.library.adelaide.edu.au/theses/09SB/09sbb428.pdf.

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38

Lynd, Justin. "A characterization of the 2-fusion system of L_4(q)." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1337790920.

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39

Wald, Christian [Verfasser], Elmar [Gutachter] Große-Klönne, Joachim [Gutachter] Mahnkopf, and Tobias [Gutachter] Schmidt. "A p-adic quantum group and the quantized p-adic upper half plane / Christian Wald ; Gutachter: Elmar Große-Klönne, Joachim Mahnkopf, Tobias Schmidt." Berlin : Humboldt-Universität zu Berlin, 2017. http://d-nb.info/118932816X/34.

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40

Ludsteck, Thomas. "P-adic vector bundles on curves and abelian varieties and representations of the fundamental group." [S.l. : s.n.], 2008. http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-35588.

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41

Mbongwa, Hlengiwe Prosperity. "Characterisation of the SULT1A1 polymorphism in a South African Tswana population group / y Hlengiwe P. Mbongwa." Thesis, North-West University, 2010. http://hdl.handle.net/10394/4225.

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This dissertation brings to the fore the “Characterization of the SULT1A1 polymorphism in a South Africa Tswana population group.” The primary experimental group studied came from South African homogeneous Tswana individuals who participated voluntarily in an ongoing large-scale epidemiological Prospective Urban and Rural Epidemiological (PURE) study the North-West University (Potchefstroom Campus) participates in, as one of the 16 low- middleand high-income countries across the world. The primary aspect investigated was the comprehensive profile of the single nucleotide polymorphism (SNP) and
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42

Long, Jane Holsapple. "The cohomology rings of the special affine group of Fp^2 and of PSL(3,p)." College Park, Md.: University of Maryland, 2008. http://hdl.handle.net/1903/8458.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2008.<br>Thesis research directed by: Dept. of Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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43

Lyons, Corey Francis. "The Γ0 Graph of a p-Regular Partition". University of Akron / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=akron1271082086.

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44

Kreighbaum, Kevin M. "Combinatorial Problems Related to the Representation Theory of the Symmetric Group." University of Akron / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=akron1270830566.

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45

Gsiea, Abdusalam Mohamed Saleh. "An ab initio study of the origin of p-type doping in ZnO using group-V elements." Thesis, University of Newcastle Upon Tyne, 2011. http://hdl.handle.net/10443/1360.

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Zinc oxide is a transparent semiconductor with a direct wide band-gap 3.4 eV and large exciton binding-energy of 60 meV, that combine to make ZnO a promising material for possible applications such as optoelectronic devices, lasers and light emitting diodes. Recently, the difficulty in obtaining high quality p-type ZnO has attracted much attention. Considerable effort has been made to obtain p-type ZnO by doping with the group- V elements N, P, As, and Sb, with the anticipation of replacing oxygen atoms in the ZnO lattice. However, experimentally these dopants can produce both p-type and n-typ
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46

Alghamdi, Ahmad M. "The Ordinary Weight conjecture and Dade's Projective Conjecture for p-blocks with an extra-special defect group." Thesis, University of Birmingham, 2004. http://etheses.bham.ac.uk//id/eprint/86/.

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Let \(p\) be a rational odd prime number, \(G\) be a finite group such that \(|G|=p^am\), with \(p \nmid m\). Let \(B\) be a \(p\)-block of \(G\) with a defect group \(E\) which is an extra-special \(p\)-group of order \(p^3\) and exponent \(p\). Consider a fixed maximal \((G, B)\)-subpair \((E, b_E)\). Let \(b\) be the Brauer correspondent of \(B\) for \(N_G(E, b_E)\). For a non-negative integer \(d\), let \(k_d(B)\) denote the number of irreducible characters \(\chi\) in \(B\) which have \(\chi(1)_p=p^{a-d}\) and let \(k_d(b)\) be the corresponding number of \(b\). Various generalizations of
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47

Bailly, Pascal. "Etude de la biosynthese des antigenes de groupes sanguins p : :(1) et p**(k)." Paris 7, 1988. http://www.theses.fr/1988PA077007.

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48

CHINELLO, GIANMARCO. "Représentations l-modulaires des groupes p-adiques. Décomposition en blocs de la catégorie des représentations lisses de GL(m,D), groupe métaplectique et représentation de Weil." Doctoral thesis, Université de Versailles St-Quentin-en-Yvelines, 2015. http://hdl.handle.net/10281/123569.

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This thesis focuses on two problems on l-modular representation theory of p-adic groups. Let F be a non-archimedean local field of residue characteristic p different from l. In the first part, we study block decomposition of the category of smooth modular representations of GL(n; F) and its inner forms.We want to reduce the description of a positive-level block to the description of a 0-level block (of a similar group) seeking equivalences of categories. Using the type theory of Bushnell-Kutzko in the modular case and a theorem of category theory, we reduce the problem to find an isomorphism
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49

Carvalho, Rafaela Soares de [UNESP]. "Singularidades do tipo D(q,p)." Universidade Estadual Paulista (UNESP), 2016. http://hdl.handle.net/11449/137928.

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Maakestad, Helge. "Principal Parts on P^1 and Chow-groups of the classical discriminants." Doctoral thesis, KTH, Mathematics, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3022.

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