| 000 | 02284nam a22003498i 4500 | ||
|---|---|---|---|
| 001 | CR9780511525933 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160243.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090406s1999||||enk o ||1 0|eng|d | ||
| 020 | _a9780511525933 (ebook) | ||
| 020 | _z9780521413626 (hardback) | ||
| 020 | _z9780521062831 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA177 _b.I93 1999 |
| 082 | 0 | 0 |
_a512/.2 _221 |
| 100 | 1 |
_aIvanov, A. A., _eauthor. |
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| 245 | 1 | 0 |
_aGeometry of sporadic groups. _n1, _pPetersen and tilde geometries / _cA. A. Ivanov. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c1999. |
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| 300 |
_a1 online resource (xiii, 408 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aEncyclopedia of mathematics and its applications ; _vvolume 76 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aThis book is the first volume in a two-volume set, which will provide the complete proof of classification of two important classes of geometries, closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with non-split extensions of symplectic groups over a field of two elements. Besides that there are twelve exceptional Petersen and tilde geometries. These exceptional geometries are related to sporadic simple groups, including the famous Monster group and this volume gives a construction for each of the Petersen and tilde geometries which provides an independent existence proof for the corresponding automorphism group. Important applications of Petersen and Tilde geometries are considered, including the so-called Y-presentations for the Monster and related groups, and a complete indentification of Y-groups is given. This is an essential purchase for researchers into finite group theory, finite geometries and algebraic combinatorics. | ||
| 650 | 0 | _aSporadic groups (Mathematics) | |
| 776 | 0 | 8 |
_iPrint version: _z9780521413626 |
| 830 | 0 |
_aEncyclopedia of mathematics and its applications ; _vv. 76. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511525933 |
| 999 |
_c518703 _d518701 |
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