Title The Residually Weakly Primitive Geometries of Sym(5)x2
Authors Philippe Cara and Dimitri Leemans
Reference Discrete Math. 255(2002), nr. 1-3, 35-45.
Math. Reviews 2003i: 51012.
Abstract We classify all firm and residually connected geometries satisfying the intersection property (IP)_2, and on which the group Sym(5)x2 acts flag-transitively and residually weakly primitively. This work was motivated by a study of the Ivanov-Shpectorov geometry for the O'Nan sporadic simple group. We show that all geometries are either direct sums of geometries of Sym(5) and 2 satisfying the same properties or are extensions of lower rank geometries given by a theorem of Leemans (see Leemans' Master's Thesis). The results obtained here rely partially on computer algebra.
The list of geometries of Sym(5)x2 can be downloaded in Postscript version.

Back to the list