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Translation Ovoids and Spreads of the Generalized Hexagon H(q)
Authors:Alan Offer
Institution:(1) Department of Pure Mathematics, University of Adelaide, Adelaide, South Australia, Australia, 5005
Abstract:Ovoids of the finite classical generalized hexagon H(q) that are translation with respect to a point are classified. By duality, translation spreads with respect to a line are classified when the characteristic is three. When the characteristic is not equal to three, it is shown that there are no ovoids that are translation with respect to a flag.
Keywords:generalized hexagon  ovoid  spread
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