Primitive flag-transitive generalized hexagons and octagons
Combinatorics
2008-03-14 v2 Group Theory
Abstract
Suppose that an automorphism group acts flag-transitively on a finite generalized hexagon or octagon , and suppose that the action on both the point and line set is primitive. We show that is an almost simple group of Lie type, that is, the socle of is a simple Chevalley group.
Cite
@article{arxiv.0704.2845,
title = {Primitive flag-transitive generalized hexagons and octagons},
author = {Csaba Schneider and Hendrik Van Maldeghem},
journal= {arXiv preprint arXiv:0704.2845},
year = {2008}
}