Characters and Blocks of Finite Groups
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Characters and Blocks of Finite Groups: (Series Number 250 London Mathematical Society Lecture Note Series)

Characters and Blocks of Finite Groups: (Series Number 250 London Mathematical Society Lecture Note Series)


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About the Book

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.

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.

Review :
"features good organization, clear and detailed proofs, and good exercises...a strong pedagogical work and a worthy sequel to Isaacs' book on ordinary character theory." Bulletin of the AMS "...a wealth of deep and interesting results which cannot be found in other textbooks...The book is very well written...it contains many jewels otherwise spread throughout the literature." Mathematical Reviews


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Product Details
  • ISBN-13: 9780521595131
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Height: 229 mm
  • No of Pages: 300
  • Returnable: N
  • Series Title: Series Number 250 London Mathematical Society Lecture Note Series
  • Weight: 494 gr
  • ISBN-10: 0521595134
  • Publisher Date: 07 May 1998
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Returnable: N
  • Spine Width: 17 mm
  • Width: 152 mm


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Characters and Blocks of Finite Groups: (Series Number 250 London Mathematical Society Lecture Note Series)
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