Nilpotent Groups And Their Automorphisms

Author : Evgenii I. Khukhro
Publisher : Walter de Gruyter
Page : 269 pages
File Size : 50,6 Mb
Release : 2011-04-20
Category : Mathematics
ISBN : 9783110846218

Get Book

Nilpotent Groups and their Automorphisms by Evgenii I. Khukhro Pdf

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Author : Anthony E. Clement,Stephen Majewicz,Marcos Zyman
Publisher : Birkhäuser
Page : 307 pages
File Size : 48,8 Mb
Release : 2017-11-18
Category : Mathematics
ISBN : 9783319662138

Get Book

The Theory of Nilpotent Groups by Anthony E. Clement,Stephen Majewicz,Marcos Zyman Pdf

This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic. While the theorems and proofs included can be found throughout the existing literature, this is the first book to collect them in a single volume. Details omitted from the original sources, along with additional computations and explanations, have been added to foster a stronger understanding of the theory of nilpotent groups and the techniques commonly used to study them. Topics discussed include collection processes, normal forms and embeddings, isolators, extraction of roots, P-localization, dimension subgroups and Lie algebras, decision problems, and nilpotent groups of automorphisms. Requiring only a strong undergraduate or beginning graduate background in algebra, graduate students and researchers in mathematics will find The Theory of Nilpotent Groups to be a valuable resource.

Author : Inder Bir Singh Passi,Mahender Singh,Manoj Kumar Yadav
Publisher : Springer
Page : 217 pages
File Size : 53,9 Mb
Release : 2019-01-12
Category : Mathematics
ISBN : 9789811328954

Get Book

Automorphisms of Finite Groups by Inder Bir Singh Passi,Mahender Singh,Manoj Kumar Yadav Pdf

The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental exact sequence of Wells that relates automorphisms, derivations and cohomology of groups, along with some interesting applications of the sequence. The second part offers an account of important developments on a conjecture that a finite group has at least a prescribed number of automorphisms if the order of the group is sufficiently large. A non-abelian group of prime-power order is said to have divisibility property if its order divides that of its automorphism group. The final part of the book discusses the literature on divisibility property of groups culminating in the existence of groups without this property. Unifying various ideas developed over the years, this largely self-contained book includes results that are either proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra.

Author : MIMA. STANOJKOVSKI
Publisher : Unknown
Page : 128 pages
File Size : 49,9 Mb
Release : 2021
Category : Electronic books
ISBN : 1470468115

Get Book

INTENSE AUTOMORPHISMS OF FINITE GROUPS. by MIMA. STANOJKOVSKI Pdf

Author : R.B. Jr. Warfield
Publisher : Springer
Page : 123 pages
File Size : 50,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540382058

Get Book

Nilpotent Groups by R.B. Jr. Warfield Pdf

Author : Mariagrazia Bianchi,Mariagrazia Bianchi Oddera,Patrizia Longobardi,Mercede Maj
Publisher : World Scientific
Page : 416 pages
File Size : 48,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814350389

Get Book

Ischia Group Theory 2010 by Mariagrazia Bianchi,Mariagrazia Bianchi Oddera,Patrizia Longobardi,Mercede Maj Pdf

The papers in this volume represent the proceedings of the Conference entitled "Ischia Group Theory 2010," which took place at NH Ischia Thermal SPA Resort, Ischia, Naples, Italy, from April 14 to April 17, 2010. The articles in this volume are contributions by speakers and participants of the Conference. The volume contains a collection of research articles by leading experts in group theory and some accessible surveys of recent research in the area. Together they provide an overview of the diversity of themes and applications that interest group theorists today. Topics covered in this volume include: finite p-groups, character and representation theory, combinatorial group theory, varieties of groups, profinite and pro-p-groups, linear groups, graphs connected with groups, subgroup structure, finiteness conditions, radical rings, conjugacy classes, automorphisms.

Author : Marcus du Sautoy,Dan Segal,Aner Shalev
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461213802

Get Book

New Horizons in pro-p Groups by Marcus du Sautoy,Dan Segal,Aner Shalev Pdf

A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,7 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9789814467438

Get Book

Ischia Group Theory 2008 by Anonim Pdf

Author : C. M. Campbell,E. F. Robertson,G. C. Smith
Publisher : Cambridge University Press
Page : 320 pages
File Size : 45,6 Mb
Release : 2003-11-06
Category : Mathematics
ISBN : 0521537401

Get Book

Groups St Andrews 2001 in Oxford: Volume 2 by C. M. Campbell,E. F. Robertson,G. C. Smith Pdf

This second volume of the two-volume book contains selected papers from the conference 'Groups St Andrews 2001 in Oxford'. The articles are contributed by a number of leading researchers and cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles. The 'Groups St Andrews' proceedings volumes are a snapshot of the state of the art in group theory and they often play an important role in future developments in the subject.

Author : Dmitriĭ Alekseevich Suprunenko
Publisher : American Mathematical Soc.
Page : 106 pages
File Size : 49,7 Mb
Release : 1963
Category : Mathematics
ISBN : 0821815598

Get Book

Soluble and Nilpotent Linear Groups by Dmitriĭ Alekseevich Suprunenko Pdf

Author : Yakov G. Berkovich,Zvonimir Janko
Publisher : Walter de Gruyter GmbH & Co KG
Page : 433 pages
File Size : 51,6 Mb
Release : 2016-01-15
Category : Mathematics
ISBN : 9783110295351

Get Book

Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order. Volume 5 by Yakov G. Berkovich,Zvonimir Janko Pdf

This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume include theory of linear algebras and Lie algebras. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.

Author : Evgenii I. Khukhro
Publisher : Cambridge University Press
Page : 226 pages
File Size : 49,6 Mb
Release : 1998-02-13
Category : Mathematics
ISBN : 9780521597173

Get Book

P-Automorphisms of Finite P-Groups by Evgenii I. Khukhro Pdf

Ideal for graduate students and researchers working in group theory and Lie rings.

Author : B. Hartley,G.M. Seitz,A.V. Borovik,R.M. Bryant
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401103299

Get Book

Finite and Locally Finite Groups by B. Hartley,G.M. Seitz,A.V. Borovik,R.M. Bryant Pdf

This volume contains the proceedings of the NATO Advanced Study Institute on Finite and Locally Finite Groups held in Istanbul, Turkey, 14-27 August 1994, at which there were about 90 participants from some 16 different countries. The ASI received generous financial support from the Scientific Affairs Division of NATO. INTRODUCTION A locally finite group is a group in which every finite set of elements is contained in a finite subgroup. The study of locally finite groups began with Schur's result that a periodic linear group is, in fact, locally finite. The simple locally finite groups are of particular interest. In view of the classification of the finite simple groups and advances in representation theory, it is natural to pursue classification theorems for simple locally finite groups. This was one of the central themes of the Istanbul conference and significant progress is reported herein. The theory of simple locally finite groups intersects many areas of group theory and representation theory, so this served as a focus for several articles in the volume. Every simple locally finite group has what is known as a Kegel cover. This is a collection of pairs {(G , Ni) liE I}, where I is an index set, each group Gi is finite, i Ni

Author : C. M. Campbell
Publisher : Cambridge University Press
Page : 374 pages
File Size : 53,9 Mb
Release : 1999-02-18
Category : Mathematics
ISBN : 0521655765

Get Book

Groups St Andrews 1997 in Bath: Volume 2 by C. M. Campbell Pdf

This two-volume book contains selected papers from the international conference "Groups St. Andrews 1997 in Bath". The articles are arranged in roughly alphabetical order and cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles contributed by other conference participants. Proceedings of earlier "Groups St. Andrews" conferences have had a major impact on the development of group theory and these volumes should be equally important.

Author : Yakov G. Berkovich,Zvonimir Janko
Publisher : Walter de Gruyter GmbH & Co KG
Page : 406 pages
File Size : 54,6 Mb
Release : 2018-06-25
Category : Mathematics
ISBN : 9783110533149

Get Book

Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order by Yakov G. Berkovich,Zvonimir Janko Pdf

This is the sixth volume of a comprehensive and elementary treatment of finite group theory. This volume contains many hundreds of original exercises (including solutions for the more difficult ones) and an extended list of about 1000 open problems. The current book is based on Volumes 1–5 and it is suitable for researchers and graduate students working in group theory.