Non-abelian representations of some sporadic geometries
For a point-line incidence system S =(P, L) with three points per line we define the universal representation group of S asR(S)= 〈zp, p∈P|zp^2=1 for p∈P,zp zq zr = 1 for {p,q,r} ∈ L〉We prove that if G is the 2-local parabolic geometry of the sporadic simple group F1(the Monster) or F2(the Baby Monst...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/87919 http://hdl.handle.net/10220/9446 |
| _version_ | 1824456710435110912 |
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| author | Ivanov, Alexander A. Pasechnik, Dmitrii V. Shpectorov, Sergey V. |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Ivanov, Alexander A. Pasechnik, Dmitrii V. Shpectorov, Sergey V. |
| author_sort | Ivanov, Alexander A. |
| collection | NTU |
| description | For a point-line incidence system S =(P, L) with three points per line we define the universal representation group of S asR(S)= 〈zp, p∈P|zp^2=1 for p∈P,zp zq zr = 1 for {p,q,r} ∈ L〉We prove that if G is the 2-local parabolic geometry of the sporadic simple group F1(the Monster) or F2(the Baby Monster) thenR(G)≅F1or 2·F2, respectively. |
| first_indexed | 2025-02-19T03:58:26Z |
| format | Journal Article |
| id | ntu-10356/87919 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:58:26Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/879192023-02-28T19:35:18Z Non-abelian representations of some sporadic geometries Ivanov, Alexander A. Pasechnik, Dmitrii V. Shpectorov, Sergey V. School of Physical and Mathematical Sciences For a point-line incidence system S =(P, L) with three points per line we define the universal representation group of S asR(S)= 〈zp, p∈P|zp^2=1 for p∈P,zp zq zr = 1 for {p,q,r} ∈ L〉We prove that if G is the 2-local parabolic geometry of the sporadic simple group F1(the Monster) or F2(the Baby Monster) thenR(G)≅F1or 2·F2, respectively. Accepted version 2013-04-03T08:53:51Z 2019-12-06T16:52:07Z 2013-04-03T08:53:51Z 2019-12-06T16:52:07Z 1996 1996 Journal Article Ivanov, A. A., Pasechnik, D. V., & Shpectorov, S. V. (1996). Non-Abelian Representations of Some Sporadic Geometries. Journal of Algebra, 181(2), 523-557. 0021-8693 https://hdl.handle.net/10356/87919 http://hdl.handle.net/10220/9446 10.1006/jabr.1996.0132 en Journal of algebra © 1996 Academic Press, Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Algebra, Academic Press, Inc. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1006/jabr.1996.0132]. application/pdf |
| spellingShingle | Ivanov, Alexander A. Pasechnik, Dmitrii V. Shpectorov, Sergey V. Non-abelian representations of some sporadic geometries |
| title | Non-abelian representations of some sporadic geometries |
| title_full | Non-abelian representations of some sporadic geometries |
| title_fullStr | Non-abelian representations of some sporadic geometries |
| title_full_unstemmed | Non-abelian representations of some sporadic geometries |
| title_short | Non-abelian representations of some sporadic geometries |
| title_sort | non abelian representations of some sporadic geometries |
| url | https://hdl.handle.net/10356/87919 http://hdl.handle.net/10220/9446 |
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