A Geometric characterization of the perfect Suzuki-Tits ovoids |
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| Authors: | Hendrik Van Maldeghem |
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| Affiliation: | (1) Department of Pure Mathematics and Computer Algebra, University of Ghent, Galglaan 2, 9000 Gent, Belgium |
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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.Senior Research Associate at the Belgian National Fund for Scientific Research |
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