Automorphisms Of Finite Groups
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Automorphisms Of Finite Groups
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Author : Inder Bir Singh Passi
language : en
Publisher: Springer
Release Date : 2019-01-12
Automorphisms Of Finite Groups written by Inder Bir Singh Passi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-12 with Mathematics categories.
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.
Automorphisms Of Finite Groups
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Author : Inder Bir S. Passi
language : en
Publisher:
Release Date : 2018
Automorphisms Of Finite Groups written by Inder Bir S. Passi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Automorphisms categories.
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.--
Finite Groups Of Automorphisms
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Author : Norman Biggs
language : en
Publisher: CUP Archive
Release Date : 1971-10-31
Finite Groups Of Automorphisms written by Norman Biggs and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-10-31 with Mathematics categories.
These are notes of lectures given at the University of Southampton, October-December 1969. The lectures were intended for research students working in areas related to the topics discussed, and for mathematicians working in other fields who were interested in hearing a survey of some current problems and their background. The character of the lectures has been retained by the inclusion of occasional 'philosophical' remarks, but the text has been kept free of references as far as possible.
Finite Groups Of Automorphisms
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Author : Norman Biggs
language : en
Publisher:
Release Date : 1969
Finite Groups Of Automorphisms written by Norman Biggs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Nilpotent Groups And Their Automorphisms
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Author : Evgenii I. Khukhro
language : en
Publisher: Walter de Gruyter
Release Date : 1993
Nilpotent Groups And Their Automorphisms written by Evgenii I. Khukhro and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, 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 interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Cear , Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
Intense Automorphisms Of Finite Groups
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Author : MIMA. STANOJKOVSKI
language : en
Publisher:
Release Date : 2021
Intense Automorphisms Of Finite Groups written by MIMA. STANOJKOVSKI and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Electronic books categories.
Finite Group Theory
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Author : M. Aschbacher
language : en
Publisher: Cambridge University Press
Release Date : 2000-06-26
Finite Group Theory written by M. Aschbacher and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-26 with Mathematics categories.
During the last 40 years the theory of finite groups has developed dramatically. The finite simple groups have been classified and are becoming better understood. Tools exist to reduce many questions about arbitrary finite groups to similar questions about simple groups. Since the classification there have been numerous applications of this theory in other branches of mathematics. Finite Group Theory develops the foundations of the theory of finite groups. It can serve as a text for a course on finite groups for students already exposed to a first course in algebra. It could supply the background necessary to begin reading journal articles in the field. For specialists it also provides a reference on the foundations of the subject. This second edition has been considerably improved with a completely rewritten Chapter 15 considering the 2-Signalizer Functor Theorem, and the addition of an appendix containing solutions to exercises.
Automorphisms Of Finite Groups
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Author : Gerald Freilich
language : en
Publisher:
Release Date : 1947
Automorphisms Of Finite Groups written by Gerald Freilich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with Group theory categories.
Automorphisms Of Finite Groups And Related Topics
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Author : Robert Sheehy
language : en
Publisher:
Release Date : 1994
Automorphisms Of Finite Groups And Related Topics written by Robert Sheehy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Group theory categories.
A Course In Finite Group Representation Theory
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Author : Peter Webb
language : en
Publisher: Cambridge University Press
Release Date : 2016-08-19
A Course In Finite Group Representation Theory written by Peter Webb and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-19 with Mathematics categories.
This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.