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  3. The Monster Group and Majorana Involutions
  • Cited by 39
      • A. A. Ivanov, Imperial College of Science, Technology and Medicine, London
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    • Publisher:
      Cambridge University Press
      Publication date:
      06 January 2010
      19 March 2009
      ISBN:
      9780511576812
      9780521889940
      DOI:
      https://doi.org/10.1017/CBO9780511576812
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.54kg, 266 Pages
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      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Mathematical Physics, Algebra
      Series:
      Cambridge Tracts in Mathematics (176)
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    Subjects:
    Mathematics (general), Mathematics, Mathematical Physics, Algebra
    Series:
    Cambridge Tracts in Mathematics (176)
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    Book description

    This is the first book to contain a rigorous construction and uniqueness proof for the largest and most famous sporadic simple group, the Monster. The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups, modular forms and conformal field theory. Through construction via the Monster amalgam – one of the most promising in the modern theory of finite groups – the author observes some important properties of the action of the Monster on its minimal module, which are axiomatized under the name of Majorana involutions. Development of the theory of the groups generated by Majorana involutions leads the author to the conjecture that Monster is the largest group generated by the Majorana involutions.

    Reviews

    'This book contains the basic knowledge on the Monster group in a very accessible way. some results are published in this book for the first time. Many are not even easily found in literature. Hence the book is a very good source for any group theorist who is interested in sporadic simple groups.'

    Source: Zentralblatt MATH

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