Representations and Characters of Finite Groups

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Hardcover | 21 May 1990

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Hardcover
256 Pages

Dimensions(cm)
22.86 x 15.24 x 1.91

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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 requiring 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 characters 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. This account will be of value as a textbook for students with some background in group theory, and as a reference for specialists and researchers in the field.

Industry Reviews

"The value of this book lies not in its encyclopedic approach to the subject...nor in its plethora of examples--the text is written concisely. The text's greatest attraction lies in its novel approach to the theory in light of the classification problem." Mark Steven Mazur, American Mathematical Monthly

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Preface
General representation theory
Complex characters
SuzukiG++s theory of exceptional characters
Coherence and exceptional characters
The characterisation of characters
Isometries
Appendix: GlaubermanG++s Z*-theorem
References
Index of notation
Index
Table of Contents provided by Publisher. All Rights Reserved.

Representations and Characters of Finite Groups

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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