Hidden Bibliographic Details
| ISBN: | 9780511518133
0511518137
9780521889940
0521889944
9780511515859
0511515855
0511576811
9780511576812
9780511517648
0511517645
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| Notes: | Includes bibliographical references (pages 245-250) and index.
Print version record.
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| Summary: | 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 The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups,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.
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| Other form: | Print version: Ivanov, A.A. (Aleksandr Anatolievich), 1958- Monster group and Majorana involutions. Cambridge : Cambridge University Press, 2009 9780521889940 0521889944
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