| Description |
1 online resource (xiii, 252 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Cambridge tracts in mathematics ; 176
|
|
Cambridge tracts in mathematics ; 176.
|
| Bibliography |
Includes bibliographical references (pages 245-250) and index. |
| Contents |
M24 and all that -- Monster amalgam [actual symbol not reproducible] -- 196 883-representation of [actual symbol not reproducible] -- 2-local geometries -- Griess algebra -- Automorphisms of Griess algebra -- Important subgroups -- Majorana involutions -- Monster graph -- Fischer's story. |
| 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 The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups,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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Sporadic groups (Mathematics)
|
|
Sporadic groups (Mathematics) |
|
Involutes (Mathematics)
|
|
Involutes (Mathematics) |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Ivanov, A.A. (Aleksandr Anatolievich), 1958- Monster group and Majorana involutions. Cambridge : Cambridge University Press, 2009 9780521889940 0521889944 (OCoLC)295002283 |
| ISBN |
9780511518133 (electronic book) |
|
0511518137 (electronic book) |
|
9780521889940 (hardback) |
|
0521889944 (hardback) |
|
9780511515859 (ebook) |
|
0511515855 (ebook) |
|
0511576811 (electronic book) |
|
9780511576812 (electronic book) |
|
9780511517648 |
|
0511517645 |
|
