Representations and characters of finite groups

M.J. Collins

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 requiring 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 characters 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. This account will be of value as a textbook for students with some background in group theory, and as a reference for specialists and researchers in the field.

「Nielsen BookData」より

[目次]

  • Preface
  • 1. General representation theory
  • 2. Complex characters
  • 3. Suzuki's theory of exceptional characters
  • 4. Coherence and exceptional characters
  • 5. The characterisation of characters
  • 6. Isometries
  • Appendix: Glauberman's Z*-theorem
  • References
  • Index of notation
  • Index.

「Nielsen BookData」より

この本の情報

書名 Representations and characters of finite groups
著作者等 Collins, Michael J.
シリーズ名 Cambridge studies in advanced mathematics
出版元 Cambridge University Press
刊行年月 1990
ページ数 xii, 242 p.
大きさ 24 cm
ISBN 9780521067645
NCID BA09935552
※クリックでCiNii Booksを表示
言語 英語
出版国 イギリス
この本を: 
このエントリーをはてなブックマークに追加

このページを印刷

外部サイトで検索

この本と繋がる本を検索

ウィキペディアから連想