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A Geometric characterization of the perfect Suzuki-Tits ovoids

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Abstract

We characterize in a geometrical way those Suzuki-Tits ovoids which are defined over a perfect fieidK (or equivalently living inside a self polar symplectic quadrangle). We simplify our axioms in the particular cases that (1) the associated Suzuki group has exactly two orbits in the set of lines ofPG(3,K), and (2) the ovoid is finite.

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Authors and Affiliations

  1. Department of Pure Mathematics and Computer Algebra, University of Ghent, Galglaan 2, 9000, Gent, Belgium

    Hendrik Van Maldeghem

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  1. Hendrik Van Maldeghem
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Senior Research Associate at the Belgian National Fund for Scientific Research

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Van Maldeghem, H. A Geometric characterization of the perfect Suzuki-Tits ovoids. J Geom 58, 192–202 (1997). https://doi.org/10.1007/BF01222940

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  • DOI: https://doi.org/10.1007/BF01222940

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