Generalised Polygons Admitting a Point-Primitive Almost Simple Group of Suzuki or Ree Type

Graham Morgan, Tomasz Popiel

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    Abstract

    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.
    Original languageEnglish
    Article numberP1.34
    Pages (from-to)1-12
    Number of pages12
    JournalElectronic Journal of Combinatorics
    Volume23
    Issue number1
    Publication statusPublished - 19 Feb 2016

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