
Characters and Blocks of Finite Groups
Gabriel Navarro(Author)
Cambridge University Press
Published on 7. May 1998
Book
Paperback/Softback
300 pages
978-0-521-59513-1 (ISBN)
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.
Reviews / Votes
"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 ReviewsMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 18 mm
Weight
490 gr
ISBN-13
978-0-521-59513-1 (9780521595131)
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Schweitzer Classification
Other editions
Additional editions

Gabriel Navarro
Characters and Blocks of Finite Groups
E-Book
02/2011
1st Edition
Cambridge University Press
€84.49
Available for download
Person
Content
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.