Characters Of Finite Groups
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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.
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.
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.
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.
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.
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.
Characters Of Finite Groups
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Author : Walter Feit
language : en
Publisher:
Release Date : 1967
Characters Of Finite Groups written by Walter Feit and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Characters of groups categories.
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.
Character Theory Of Finite Groups
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Author : Bertram Huppert
language : en
Publisher: Walter de Gruyter
Release Date : 2011-04-20
Character Theory Of Finite Groups written by Bertram Huppert 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 2011-04-20 with Mathematics categories.
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
Representations And Characters Of Groups
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Author : Gordon James
language : en
Publisher: Cambridge University Press
Release Date : 2001-10-18
Representations And Characters Of Groups written by Gordon 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.
This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.