Fabienne Haot

  1. Ree geometries.

    Authors: Koen Struyve, Hendrik Van Maldeghem, Fabienne Haot
    Subjects: Group Theory
    Abstract

    We introduce a rank 3 geometry for any Ree group over a not necessarily
    perfect field and show that its full collineation group is the automorphism
    group of the corresponding Ree group. A similar result holds for two rank 2
    geometries obtained as a truncation of this rank 3 geometry. As an application,
    we show that a polarity in any Moufang generalized hexagon is unambiguously
    determined by its set of absolute points, or equivalently, its set of absolute
    lines.

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