On ovoids of O(5, q)
نویسنده
چکیده
This article is about ovoids of the generalised quadrangle O(5, q) and, equivalently, spreads of the generalised quadrangle Sp(4, q). In a less than conventional way the quadrangles are represented in the field GF (q) which allows some amount of computation to be done. It is shown that an ovoid of O(5, q) meets an elliptic quadric in 1 modulo p points.
منابع مشابه
Group–theoretic characterizations of classical ovoids
An ovoid of PG(3, q), q > 2, is a set of q + 1 points of PG(3, q), no three of which are collinear. The only known ovoids of PG(3, q) are the elliptic quadrics, which exist for all q, and the Suzuki-Tits ovoids, which exist for q = 2, e ≥ 3 odd, [10]. It is well known that for odd q, the only ovoids are the elliptic quadrics. For even q, the ovoids have been classified only for q up to and incl...
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