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Author : Gabor Lukacs
Publisher :
ISBN 13 :
Total Pages : 47 pages
Book Rating : 4.:/5 (87 download)
Download or read book P-Automorphisms of Lie P-rings and Finite P-groups written by Gabor Lukacs and published by . This book was released on 1999 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Evgenii I. Khukhro
Publisher : Cambridge University Press
ISBN 13 : 052159717X
Total Pages : 226 pages
Book Rating : 4.5/5 (215 download)
Download or read book P-Automorphisms of Finite P-Groups written by Evgenii I. Khukhro and published by Cambridge University Press. This book was released on 1998-02-13 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers working in group theory and Lie rings.
Author : Evgenii I. Khukhro
Publisher : Walter de Gruyter
ISBN 13 : 3110846217
Total Pages : 269 pages
Book Rating : 4.1/5 (18 download)
Download or read book Nilpotent Groups and their Automorphisms written by Evgenii I. Khukhro and published by Walter de Gruyter. This book was released on 2011-04-20 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : C. M. Campbell
Publisher : Cambridge University Press
ISBN 13 : 1139498282
Total Pages : 305 pages
Book Rating : 4.1/5 (394 download)
Download or read book Groups St Andrews 2009 in Bath: Volume 2 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2011-06-16 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Eammon O'Brien, Mark Sapir and Dan Segal, survey the latest developments in algebra.
Author : Daniel Gorenstein
Publisher : American Mathematical Soc.
ISBN 13 : 0821843427
Total Pages : 546 pages
Book Rating : 4.8/5 (218 download)
Download or read book Finite Groups written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 2007 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Classification Theorem is one of the main achievements of 20th century mathematics, but its proof has not yet been completely extricated from the journal literature in which it first appeared. This is the second volume in a series devoted to the presentation of a reorganized and simplified proof of the classification of the finite simple groups. The authors present (with either proof or reference to a proof) those theorems of abstract finite group theory, which are fundamental to the analysis in later volumes in the series. This volume provides a relatively concise and readable access to the key ideas and theorems underlying the study of finite simple groups and their important subgroups. The sections on semisimple subgroups and subgroups of parabolic type give detailed treatments of these important subgroups, including some results not available until now or available only in journal literature. The signalizer section provides an extensive development of both the Bender Method and the Signalizer Functor Method, which play a central role in the proof of the Classification Theorem. This book would be a valuable companion text for a graduate group theory course."--Publisher's website
Author : Benjamin Klopsch
Publisher : Cambridge University Press
ISBN 13 : 1139495658
Total Pages : 175 pages
Book Rating : 4.1/5 (394 download)
Download or read book Lectures on Profinite Topics in Group Theory written by Benjamin Klopsch and published by Cambridge University Press. This book was released on 2011-02-10 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.
Author : C. M. Campbell
Publisher : Cambridge University Press
ISBN 13 : 9780521655767
Total Pages : 374 pages
Book Rating : 4.6/5 (557 download)
Download or read book Groups St Andrews 1997 in Bath: Volume 2 written by C. M. Campbell and published by Cambridge University Press. This book was released on 1999-02-18 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Inder Bir Singh Passi
Publisher : Springer
ISBN 13 : 9811328951
Total Pages : 217 pages
Book Rating : 4.8/5 (113 download)
Download or read book Automorphisms of Finite Groups written by Inder Bir Singh Passi and published by Springer. This book was released on 2019-01-12 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mariagrazia Bianchi
Publisher : World Scientific
ISBN 13 : 9814350389
Total Pages : 416 pages
Book Rating : 4.8/5 (143 download)
Download or read book Ischia Group Theory 2010 written by Mariagrazia Bianchi and published by World Scientific. This book was released on 2012 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : B. Hartley
Publisher : Springer Science & Business Media
ISBN 13 : 9401103291
Total Pages : 469 pages
Book Rating : 4.4/5 (11 download)
Download or read book Finite and Locally Finite Groups written by B. Hartley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9780521537407
Total Pages : 320 pages
Book Rating : 4.5/5 (374 download)
Download or read book Groups St Andrews 2001 in Oxford: Volume 2 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2003-11-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Mariagrazia Bianchi
Publisher : World Scientific
ISBN 13 : 9814460524
Total Pages : 416 pages
Book Rating : 4.8/5 (144 download)
Download or read book Ischia Group Theory 2010 - Proceedings Of The Conference written by Mariagrazia Bianchi and published by World Scientific. This book was released on 2011-09-01 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : E. I. Khukhro
Publisher :
ISBN 13 : 9781139885386
Total Pages : pages
Book Rating : 4.8/5 (853 download)
Download or read book P-automorphisms of Finite P-groups written by E. I. Khukhro and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marcus du Sautoy
Publisher : Springer Science & Business Media
ISBN 13 : 1461213800
Total Pages : 434 pages
Book Rating : 4.4/5 (612 download)
Download or read book New Horizons in pro-p Groups written by Marcus du Sautoy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Otto H. Kegel
Publisher : Springer
ISBN 13 : 3540479481
Total Pages : 186 pages
Book Rating : 4.5/5 (44 download)
Download or read book Group Theory written by Otto H. Kegel and published by Springer. This book was released on 2006-11-15 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kurt Augustus Hirsch
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.F/5 ( download)
Download or read book The Automorphism Groups of Abelian P-groups written by Kurt Augustus Hirsch and published by . This book was released on 1961 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles Richard Leedham-Green
Publisher : Clarendon Press
ISBN 13 : 9780198535485
Total Pages : 356 pages
Book Rating : 4.5/5 (354 download)
Download or read book The Structure of Groups of Prime Power Order written by Charles Richard Leedham-Green and published by Clarendon Press. This book was released on 2002 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important monograph summarizing the development of a classification system of finite p-groups.
