Let G be a collineation group of a thick finite generalised hexagon or generalised octagon Γ. If G acts primitively on the points of Γ, then a recent result of Bamberg et al. shows that G must be an almost simple group of Lie type. We show that, furthermore, the minimal normal subgroup S of G cannot be a Suzuki group or a Ree group of type 2G2, and that if S is a Ree group of type 2F4, then Γ is (up to point-line duality) the classical Ree-Tits generalised octagon.
|Number of pages||12|
|Journal||Electronic Journal of Combinatorics|
|Publication status||Published - 19 Feb 2016|