
Title

The Residually Weakly Primitive Geometries of Sym(5)x2

Authors

Philippe Cara and Dimitri Leemans

Reference

Discrete Math. 255(2002), nr. 13, 3545.

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
flagtransitively and residually weakly primitively. This work was motivated
by a study of the IvanovShpectorov 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.


