Characters and Blocks of Finite Groups

Released on by Gabriel Navarro
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  • Characters and Blocks of Finite Groups Book Detail

  • Author : Gabriel Navarro
  • Release Date : 1998-05-07
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 301
  • ISBN 13 : 0521595134
  • File Size : 20,20 MB
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Characters and Blocks of Finite Groups by Gabriel Navarro PDF Summary

Book 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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Characters and Blocks of Finite Groups

Characters and Blocks of Finite Groups

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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 revi

Character Theory of Finite Groups

Character Theory of Finite Groups

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Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple