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Representations and Characters of Finite Groups

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Synopses & Reviews

Publisher Comments:

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.

Table of Contents

Preface; 1. General representation theory; 2. Complex characters; 3. Suzuki's theory of exceptional characters; 4. Coherence and exceptional characters; 5. The characterisation of characters; 6. Isometries; Appendix: Glauberman's Z*-theorem; References; Index of notation; Index.

Product Details

ISBN:
9780521067645
Author:
Collins, M. J.
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Algebra - General
Subject:
Group Theory
Subject:
Mathematics - Algebra
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics
Series Volume:
22
Publication Date:
20080731
Binding:
TRADE PAPER
Language:
English
Pages:
256
Dimensions:
5.98x9.01x.57 in. .84 lbs.

Related Subjects

History and Social Science » Politics » United States » Politics
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Group Theory

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