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  3. Enumeration of Finite Groups
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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2010
      October 2007
      ISBN:
      9780511542756
      9780521882170
      DOI:
      https://doi.org/10.1017/CBO9780511542756
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.532kg, 294 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Algebra
      Series:
      Cambridge Tracts in Mathematics (173)
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    Cambridge Tracts in Mathematics (173)
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    Book description

    How many groups of order n are there? This is a natural question for anyone studying group theory, and this Tract provides an exhaustive and up-to-date account of research into this question spanning almost fifty years. The authors presuppose an undergraduate knowledge of group theory, up to and including Sylow's Theorems, a little knowledge of how a group may be presented by generators and relations, a very little representation theory from the perspective of module theory, and a very little cohomology theory - but most of the basics are expounded here and the book is more or less self-contained. Although it is principally devoted to a connected exposition of an agreeable theory, the book does also contain some material that has not hitherto been published. It is designed to be used as a graduate text but also as a handbook for established research workers in group theory.

    Reviews

    '… a welcome and well-written addition to the theory of finite groups.'

    Source: EMS Newsletter

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