Abstract
For a point-line incidence system script I = (P,L) with three points per line we define the universal representation group of ℐ as R(ℐ) = 〈zp, p ∈ P\z2p = 1 for p ∈ P, zpzqzr = 1 for {p,q,r} ∈ L〉. We prove that if script G is the 2-local parabolic geometry of the sporadic simple group F1 (the Monster) or F2 (the Baby Monster) then R(script G) ≅ F1 or 2 · F2, respectively.
Original language | English |
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Pages (from-to) | 523-557 |
Number of pages | 35 |
Journal | Journal of Algebra |
Volume | 181 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 Apr 1996 |
ASJC Scopus subject areas
- Algebra and Number Theory