Geometries for the group PSL(3,4)

Authors:
Harald Gottschalk;Dimitri Leemans
Affiliations:
Condor-Versicherungen, Admiralitätstraße 67, D-20459 Hamburg, Germany;Université Libre de Bruxelles, C.P.216--Géométrie, Boulevard du Triomphe, B-1050 Bruxelles, Belgium
Venue:
European Journal of Combinatorics
Year:
2003

Citing 9
Cited 1

Finite rank 3 geometries with affine planes and dual affine point residues

Discrete Mathematics
The Gewirtz graph: an exercise in the theory of graph spectra

European Journal of Combinatorics - Special issue: association schemes
Classifying geometries with CAYLEY

Journal of Symbolic Computation
On flag-transitive c.c*-geometries

GDSTM '93 Proceedings of a special research quarter on Groups, difference sets, and the monster
The MAGMA algebra system I: the user language

Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
On a geometry of Ivanov a Shepectorov for the O'nan sporadic simple group

Journal of Combinatorial Theory Series A
On the geometry of Baer subplanes in PG(2,4)

European Journal of Combinatorics
On the number of inductively minimal geometries

Theoretical Computer Science
The residually weakly primitive geometries of S5× 2

Discrete Mathematics

A rank six geometry related to the McLaughlin sporadic simple group

Designs, Codes and Cryptography

Quantified Score

Hi-index	0.00

Visualization

Abstract

We classify all firm, residually connected coset geometries, on which the group PSL(3,4) acts as a flag-transitive automorphism group fulfilling the residually weakly primitive condition: the stabilizer of any flag F acts primitively on the elements of some type in the residue ΓF. We demand also that every residue of rank two satisfies the intersection property. We give geometric constructions for all geometries obtained.