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...
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| Main Authors: | , , |
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| 其他作者: | |
| 格式: | Article |
| 語言: | English |
| 出版: |
2013
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| 在線閱讀: | https://hdl.handle.net/10356/87919 http://hdl.handle.net/10220/9446 |
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| 機構: | Nanyang Technological University |
| 語言: | English |
| 總結: | 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. |
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