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  3. Lectures on Block Theory
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2011
      April 1991
      ISBN:
      9780511565786
      9780521405652
      DOI:
      https://doi.org/10.1017/CBO9780511565786
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.178kg, 116 Pages
      • Subjects:
      Mathematics (general), Mathematics, Algebra
      Series:
      London Mathematical Society Lecture Note Series (161)
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    London Mathematical Society Lecture Note Series (161)
    Information

    Book description

    Block theory is a part of the theory of modular representation of finite groups and deals with the algebraic structure of blocks. In this volume Burkhard Külshammer starts with the classical structure theory of finite dimensional algebras, and leads up to Puigs main result on the structure of the so called nilpotent blocks, which he discusses in the final chapter. All the proofs in the text are given clearly and in full detail, and suggestions for further reading are also included. For researchers and graduate students interested in group theory or representation theory, this book will form an excellent self contained introduction to the theory of blocks.

    Reviews

    "The clearly-written and well-presented text can be used for a one-semester course or a seminar on the subject. I should like to recommend this book to anyone who wishes to learn more about these fascinating new ideas and developments in the representation theory of finite groups." M. Geck, LMS

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