LMS: 250 Characters Finite Groups (London Mathematical Society Lecture Note Series, Series Number 250) - Image 1

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

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

Algebra

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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.

Product Specifications

Brand: Cambridge University Press
Format: Paperback
ASIN: 0521595134
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 12 January 2008
Listed Since: 03 January 2007

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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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