Characters and Blocks of Finite Groups PDF, ePub eBook

Characters and Blocks of Finite Groups

File Name:Characters and Blocks of Finite Groups
Posted By:Gabriel Navarro
Published on 1998-05-07 by Cambridge University Press
ISBN-10:0521595134
Status : AVAILABLE Last checked: 14 Minutes ago!
Ratting: 4.6 of 5 from 764 votes. Ready to download

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Book Summary

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.

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