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  3. The Mathieu Groups
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2018
      June 2018
      ISBN:
      9781108555289
      9781108429788
      DOI:
      https://doi.org/10.1017/9781108555289
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.39kg, 180 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Algebra
      Series:
      Cambridge Tracts in Mathematics (214)
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    Subjects:
    Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Algebra
    Series:
    Cambridge Tracts in Mathematics (214)
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    Book description

    The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique, geometric perspective on these groups. The amalgam method is explained and used to construct M24, enabling readers to learn the method through its application to a familiar example. The same method is then used to construct, among others, the octad graph, the Witt design and the Golay code. This book also provides a systematic account of 'small groups', and serves as a useful reference for the Mathieu groups. The material is presented in such a way that it guides the reader smoothly and intuitively through the process, leading to a deeper understanding of the topic.

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