Non-Abelian Representations of Some Sporadic Geometries Original Research Article

For a point-line incidence system image=(P, L) with three points per line we define the universal representation group of image as[formula]We prove that if image is the 2-local parabolic geometry of the sporadic simple groupF1(the Monster) orF2(the Baby Monster) thenR(image)congruent withF1or 2·F2, respectively.