Primitive flag-transitive generalized hexagons and octagons

Details Primitive flag-transitive generalized hexagons and octagons Primitive flag-transitive generalized hexagons and octagons

2007-04-21

arxiv.org/abs/0704.2845v2

Mathematics

Combinatorics

forgot to upload the appendices in version 1, and this is rectified in version 2. erased cross-ref keys in version 3. Minor re

Scientific paper

Suppose that an automorphism group $G$ acts flag-transitively on a finite
generalized hexagon or octagon $\cS$, and suppose that the action on both the
point and line set is primitive. We show that $G$ is an almost simple group of
Lie type, that is, the socle of $G$ is a simple Chevalley group.

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