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  1. Home
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  3. The Monster Group and Majorana Involutions
  • Cited by 29
  • A. A. Ivanov, Imperial College of Science, Technology and Medicine, London
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
2009
Online ISBN:
9780511576812
DOI:
https://doi.org/10.1017/CBO9780511576812
Subjects:
Mathematics (general), Mathematics, Mathematical Physics, Algebra
Series:
Cambridge Tracts in Mathematics (176)
Information

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 The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups,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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