The Monster Group and Majorana Involutions
Summary
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The Monster Group and Majorana Involutions by A A Ivanov
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 The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups,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.
'This book contains the basic knowledge on the Monster group in a very accessible waysome 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.' Zentralblatt MATH
A. A. Ivanov is a Professor in the Mathematical Department at Imperial College, London and the Institute of System Analysis at the Russian Academy of Sciences, Moscow.
| SKU | GOR014220384 |
| ISBN 13 | 9780521889940 |
| ISBN 10 | 0521889944 |
| Title | The Monster Group and Majorana Involutions |
| Author | A A Ivanov |
| Series | Cambridge Tracts In Mathematics |
| Condition | Very Good |
| Publisher | Cambridge University Press |
| Year published | 2009-03-19 |
| Number of pages | 266 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us |
