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The Monster group and Majorana involutions /
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 The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathem...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2009.
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| Colección: | Cambridge tracts in mathematics ;
176. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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 The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups,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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| Descripción Física: | 1 online resource (xiii, 252 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 245-250) and index. |
| ISBN: | 9780511518133 0511518137 9780521889940 0521889944 9780511515859 0511515855 0511576811 9780511576812 9780511517648 0511517645 1107201322 9781107201323 0511517130 9780511517136 |