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Representations and Characters of Finite Groups
M. J. Collins
出版
Cambridge University Press
, 1990-03-22
主題
Mathematics / Algebra / General
Mathematics / Group Theory
ISBN
0521234409
9780521234405
URL
http://books.google.com.hk/books?id=VxnQwbs568oC&hl=&source=gbs_api
EBook
SAMPLE
註釋
Representation theory and character theory have proved essential in the study of finite simple groups since their early development by Frobenius. The author begins by presenting the foundations of character theory in a style accessible to advanced undergraduates that requires only a basic knowledge of group theory and general algebra. This theme is then expanded in a self-contained account providing an introduction to the application of character theory to the classification of simple groups. The book follows both strands of the theory: the exceptional characteristics of Suzuki and Feit and the block character theory of Brauer and includes refinements of original proofs that have become available as the subject has grown.