Characters and Blocks of Finite Groups
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. The author then applies these results to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. Navarro also explores the relationship between blocks and normal subgroups and discusses the modular characters and blocks in p-solvable groups. Finally, he studies the character theory of groups with a Sylow p-subgroup of order p. 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.
1100949570
Characters and Blocks of Finite Groups
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. The author then applies these results to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. Navarro also explores the relationship between blocks and normal subgroups and discusses the modular characters and blocks in p-solvable groups. Finally, he studies the character theory of groups with a Sylow p-subgroup of order p. 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.
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Characters and Blocks of Finite Groups

Characters and Blocks of Finite Groups

by Gabriel Navarro
Characters and Blocks of Finite Groups

Characters and Blocks of Finite Groups

by Gabriel Navarro

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Overview

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. The author then applies these results to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. Navarro also explores the relationship between blocks and normal subgroups and discusses the modular characters and blocks in p-solvable groups. Finally, he studies the character theory of groups with a Sylow p-subgroup of order p. 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.

Product Details

ISBN-13: 9780521595131
Publisher: Cambridge University Press
Publication date: 05/07/1998
Series: London Mathematical Society Lecture Note Series , #250
Edition description: New Edition
Pages: 300
Product dimensions: 5.98(w) x 9.02(h) x 0.67(d)

Table of Contents

Preface; 1. Algebras; 2. Brauer characters; 3. Blocks; 4. The first main theorem; 5. The second main theorem; 6. The third main theorem; 7. The Z*-theorem; 8. Brauer characters as characters; 9. Blocks and normal subgroups; 10. Characters and blocks in p-solvable groups; 11. Groups with Sylow p-subgroups of order p; Notation; Bibliographic notes; References; Index.
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