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Look Inside Representations and Characters of Finite Groups

Representations and Characters of Finite Groups


Part of Cambridge Studies in Advanced Mathematics

  • Date Published: July 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521067645

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About the Authors
  • 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.

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    Product details

    • Date Published: July 2008
    • format: Paperback
    • isbn: 9780521067645
    • length: 256 pages
    • dimensions: 230 x 153 x 15 mm
    • weight: 0.38kg
    • availability: Available
  • Table of Contents

    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
    Index of notation

  • Author

    M. J. Collins, University College, Oxford

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