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Cambridge University Press LMS: 250 Characters Finite Groups (London Mathematical Society Lecture Note Series, Series Number 250)

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£84.99 £79.23 £80.48 £81.74 £83.00 £84.26 £85.51 26 April 2026 07 May 2026 19 May 2026 30 May 2026 11 June 2026

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Description

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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Format
paperback
Domain
Amazon UK
Release Date
12 January 2008
Listed Since
03 January 2007

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