Non-abelian representations of some sporadic geometries

• Main Authors: Ivanov, Alexander A., Pasechnik, Dmitrii V., Shpectorov, Sergey V.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Online Access: https://hdl.handle.net/10356/87919; http://hdl.handle.net/10220/9446
• Institution: Nanyang Technological University

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...