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Representations and Characters of Finite Groups (Cambridge Studies in Advanced...


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Click here to buy Representations and Characters of Finite Groups (Cambridge Studies in Advanced... by  M. J. Collins. Representations and Characters of Finite Groups (Cambridge Studies in Advanced...
by M. J. Collins
Sales Rank: 937369
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  • Paperback: 254 pages
  • Publisher: Cambridge University Press; 1 edition July 10, 2008
  • Language: English
  • ISBN-10: 0521067642
  • ISBN-13: 978-0521067645
  • Product Dimensions: 8.9 x 5.8 x 0.8 inches
  • Shipping Weight: 13.6 ounces

    Product Review
    "The value of this book lies not in its encyclopedic approach to the subjectnor in its plethora of examples--the text is written concisely. The text's greatest attraction lies in its novel approach to the theory in light of the classification problem." Mark Steven Mazur, American Mathematical Monthly

    Product Description
    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.

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