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On Characters Of Finite Groups


On Characters Of Finite Groups
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Representations And Characters Of Finite Groups


Representations And Characters Of Finite Groups
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Author : M. J. Collins
language : en
Publisher: Cambridge University Press
Release Date : 1990-03-22

Representations And Characters Of Finite Groups written by M. J. Collins 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 1990-03-22 with Mathematics categories.


Representation theory and character theory have proved essential in the study of finite simple groups since their early development by Frobenius. The author begins by presenting the foundations of character theory in a style accessible to advanced undergraduates that requires only a basic knowledge of group theory and general algebra. This theme is then expanded in a self-contained account providing an introduction to the application of character theory to the classification of simple groups. The book follows both strands of the theory: the exceptional characteristics of Suzuki and Feit and the block character theory of Brauer and includes refinements of original proofs that have become available as the subject has grown.



Volume 1


Volume 1
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Author : Yakov G. Berkovich
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-12-18

Volume 1 written by Yakov G. Berkovich and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-18 with Mathematics categories.


This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contains a number of open questions.



Character Theory Of Finite Groups


Character Theory Of Finite Groups
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Author : Mark L. Lewis
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-09-17

Character Theory Of Finite Groups written by Mark L. Lewis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-17 with Mathematics categories.


This volume contains a collection of papers from the Conference on Character Theory of Finite Groups, held at the Universitat de Valencia, Spain, on June 3-5, 2009, in honor of I. Martin Isaacs. The topics include permutation groups, character theory, p-groups, and group rings. The research articles feature new results on large normal abelian subgroups of p-groups, construction of certain wreath products, computing idempotents in group algebras of finite groups, and using dual pairs to study representations of cross characteristic in classical groups. The expository articles present results on vertex subgroups, measuring theorems in permutation groups, the development of super character theory, and open problems in character theory.



On Characters Of Finite Groups


On Characters Of Finite Groups
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Author : Michel Broué
language : en
Publisher: Springer
Release Date : 2017-12-29

On Characters Of Finite Groups written by Michel Broué and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-29 with Mathematics categories.


This book explores the classical and beautiful character theory of finite groups. It does it by using some rudiments of the language of categories. Originally emerging from two courses offered at Peking University (PKU), primarily for third-year students, it is now better suited for graduate courses, and provides broader coverage than books that focus almost exclusively on groups. The book presents the basic tools, notions and theorems of character theory (including a new treatment of the control of fusion and isometries), and introduces readers to the categorical language at several levels. It includes and proves the major results on characteristic zero representations without any assumptions about the base field. The book includes a dedicated chapter on graded representations and applications of polynomial invariants of finite groups, and its closing chapter addresses the more recent notion of the Drinfeld double of a finite group and the corresponding representation of GL_2(Z).



Characters Of Finite Groups


Characters Of Finite Groups
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Author : I︠A︡. G. Berkovich
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Characters Of Finite Groups written by I︠A︡. G. Berkovich and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


Places character theory and its applications to finite groups. This book focuses on themes such as degrees and kernels of irreducible characters, the class number and the number of nonlinear irreducible characters, values of irreducible characters, characterizations and generalizations of Frobenius groups, and generalizations of monomial groups.



The Character Theory Of Finite Groups Of Lie Type


The Character Theory Of Finite Groups Of Lie Type
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Author : Meinolf Geck
language : en
Publisher: Cambridge University Press
Release Date : 2020-02-27

The Character Theory Of Finite Groups Of Lie Type written by Meinolf Geck 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 2020-02-27 with Mathematics categories.


A comprehensive guide to the vast literature and range of results around Lusztig's character theory of finite groups of Lie type.



Characters Of Finite Groups


Characters Of Finite Groups
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Author : I︠A︡. G. Berkovich
language : en
Publisher:
Release Date : 2018

Characters Of Finite Groups written by I︠A︡. G. Berkovich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Characters of groups categories.




Representations And Characters Of Groups


Representations And Characters Of Groups
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Author : Gordon Douglas James
language : en
Publisher: Cambridge University Press
Release Date : 2001-10-18

Representations And Characters Of Groups written by Gordon Douglas James 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 2001-10-18 with Mathematics categories.


Introducing the representation theory of finite groups, this second edition has been revised and updated. The theory is developed in terms of modules with considerable emphasis placed upon constructing characters.



Characters And Blocks Of Finite Groups


Characters And Blocks Of Finite Groups
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Author : Gabriel Navarro
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-07

Characters And Blocks Of Finite Groups written by Gabriel Navarro 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 1998-05-07 with Mathematics categories.


This is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in turn. These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups are discussed. Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite groups.



Characters Of Finite Groups


Characters Of Finite Groups
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Author : I͡A. G. Berkovich
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Characters Of Finite Groups written by I͡A. G. Berkovich and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


This book places character theory and its applications to finite groups within the reach of people with a comparatively modest mathematical background. The work concentrates mostly on applications of character theory to finite groups. The main themes are degrees and kernels of irreducible characters, the class number and the number of nonlinear irreducible characters, values of irreducible characters, characterizations and generalizations of Frobenius groups, and generalizations of monomial groups. The presentation is detailed, and many proofs of known results are new.