
Title

An Atlas of Residually Weakly Primitive Geometries for Small Groups

Authors

Francis Buekenhout, Michel Dehon and Dimitri Leemans

Reference

Acad. roy. Belgique, Mem. Cl. Sci., Col. 8, Ser. 3, Tome XIV(1999), 175 pp.

Math. Reviews

not available yet

Zentralblatt

923.51009

Abstract

Using a series of CAYLEY programs, we get all firm, residually connected
geometries whose rank 2 residues satisfy the intersection property and on which
a "small" flagtransitive group G is acting in such a way that for each flag
F, the stabilizer G(F) acts primitively on the elements of some type, in the
residue of F.

Errata

Geometries of Alt(7)
There are two nonconjugate geometries like number 3 of rank 3.
In rank 4, geometries 6, 9 and 11 are (2T)_1.
In the diagram of geometry 11 of rank 4, reverse the two c's.


