The Monster group and Majorana involutions /
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| Author / Creator: | Ivanov, A. A. (Aleksandr Anatolievich), 1958- |
|---|---|
| Imprint: | Cambridge : Cambridge University Press, 2009. |
| Description: | 1 online resource (xiii, 252 pages) : illustrations |
| Language: | English |
| Series: | Cambridge tracts in mathematics ; 176 Cambridge tracts in mathematics ; 176. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11814438 |
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| 100 | 1 | |a Ivanov, A. A. |q (Aleksandr Anatolievich), |d 1958- |0 http://id.loc.gov/authorities/names/n97061636 | |
| 245 | 1 | 4 | |a The Monster group and Majorana involutions / |c A.A. Ivanov. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2009. | ||
| 300 | |a 1 online resource (xiii, 252 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge tracts in mathematics ; |v 176 | |
| 504 | |a Includes bibliographical references (pages 245-250) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 520 | |a 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 The author provides a systematic exposition of the theory of the Monster group, which remains largely unpublished despite great interest from both mathematicians and physicists due to its intrinsic connection with various areas in mathematics, including reflection groups,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. | ||
| 650 | 0 | |a Sporadic groups (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh86001428 | |
| 650 | 0 | |a Involutes (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85067763 | |
| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Involutes (Mathematics) |2 fast |0 (OCoLC)fst00978509 | |
| 650 | 7 | |a Sporadic groups (Mathematics) |2 fast |0 (OCoLC)fst01130379 | |
| 650 | 7 | |a Monster-Gruppe |2 gnd |0 http://d-nb.info/gnd/4451088-3 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Ivanov, A.A. (Aleksandr Anatolievich), 1958- |t Monster group and Majorana involutions. |d Cambridge : Cambridge University Press, 2009 |z 9780521889940 |z 0521889944 |w (OCoLC)295002283 |
| 830 | 0 | |a Cambridge tracts in mathematics ; |v 176. |0 http://id.loc.gov/authorities/names/n42005726 | |
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