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arXiv · 0704.2845

Primitive flag-transitive generalized hexagons and octagons

Csaba Schneider·Hendrik Van Maldeghem
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Abstract

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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Csaba Schneider, Hendrik Van Maldeghem. 2008-03-14. Primitive flag-transitive generalized hexagons and octagons. https://arxiv.org/abs/0704.2845

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