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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Asymptotics of some number theoretic functions and an application to the growth of nilpotent groups

Stoll, Michael. January 1994 (has links)
Thesis (doctoral)--Universität Bonn, 1993. / Includes bibliographical references (p. 67).
2

The large scale geometry of nilpotent-by-cycle groups /

Ahlin, Ashley Reiter. January 2002 (has links)
Thesis (Ph. D.)--University of Chicago, Department of Mathematics, June 2002. / Includes bibliographical references. Also available on the Internet.
3

Zur Rationalität polynomialer Wachstumsfunktionen

Weber, Bernhard. January 1989 (has links)
Thesis (doctoral)--Universität Bonn, 1988. / Includes bibliographical references.
4

Geometric and analytic properties in the behavior of random walks on nilpotent covering graphs

Ishiwata, Satoshi. January 1900 (has links)
Thesis (Ph. D.)--Tohoku University, 2004. / "June 2004." Includes bibliographical references (p. 69-72).
5

Locally nilpotent 5-Engel p-groups

Milian, Dagmara January 2010 (has links)
In this thesis we investigate the structure of locally nilpotent 5-Engel p-groups. We show that for p > 7, locally nilpotent 5-Engel p-groups have class at most 10. This is a global theorem, where the result is not dependent on the number of generators of the group. The proof uses new and established Lie methods and a custom C++ implementation of an algorithm that constructs minimal generating sets and structure constants of multi- graded Lie algebras in a variety defined by three multilinear relations, which hold in the Lie rings associated with 5-Engel p-groups. We obtain our results by calculating in the set Q(p) = {~ I x E Z, yE Z+, Y # 0 modulo any p f/. p} (where p is a set of excluded primes and x, y are arbitrarily large integers), as well as the fields Zp, p prime. We introduce several reduction theorems, making the result possible. We also present results about the normal closure of elements in these groups. We use a Higman reduction theorem and the same custom C++ program to show that locally nilpotent 5-Engel p-groups, p 2: 5, are Fitting, with Fitting degree at most 4 if p > 7, at most 5 if p = 7 and at most 6 if p = 5. These results are best possible.
6

Powerful groups of prime power order /

Wilson, Lawrence Eugene. January 2002 (has links)
Thesis (Ph. D.)--University of Chicago. / Includes bibliographical references. Also available on the Internet.
7

On the sources of simple modules in nilpotent blocks

Salminen, Adam D., January 2005 (has links)
Thesis (Ph. D.)--Ohio State University, 2005. / Title from first page of PDF file. Document formatted into pages; contains viii, 87 p. Includes bibliographical references (p. 85-87). Available online via OhioLINK's ETD Center
8

The effect of the group structure of a group Q on its non-cancellation set

Lubisi, Elliot January 2018 (has links)
A dissertation submitted in fulfillment of the requirements for the degree of Master of Science in the school of Mathematics , University of the Witwatersrand, Johannesburg, 2018 / MT 2018
9

Representation Growth of Finitely Generated Torsion-Free Nilpotent Groups: Methods and Examples

Ezzat, Shannon January 2012 (has links)
This thesis concerns representation growth of finitely generated torsion-free nilpotent groups. This involves counting equivalence classes of irreducible representations and embedding this counting into a zeta function. We call this the representation zeta function. We use a new, constructive method to calculate the representation zeta functions of two families of groups, namely the Heisenberg group over rings of quadratic integers and the maximal class groups. The advantage of this method is that it is able to be used to calculate the p-local representation zeta function for all primes p. The other commonly used method, known as the Kirillov orbit method, is unable to be applied to these exceptional cases. Specifically, we calculate some exceptional p-local representation zeta functions of the maximal class groups for some well behaved exceptional primes. Also, we describe the Kirillov orbit method and use it to calculate various examples of p-local representation zeta functions for almost all primes p.
10

On O-basis groups and generalizations

Ervin, Jason January 2007 (has links) (PDF)
Thesis (Ph.D.)--Auburn University, 2007. / Abstract. Includes bibliographic references (ℓ. 68)

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