Spreads and Ovoids Translation with Respect to Disjoint Flags
نویسندگان
چکیده
It is shown that if a spread of a finite split Cayley hexagon is translation with respect to two disjoint flags then it is either a hermitian spread or a Ree–Tits spread. Analogously, if an ovoid of a classical generalized quadrangle Qð4; qÞ is translation with respect to two disjoint flags then it is either an elliptic quadric or a Suzuki–Tits ovoid. In the course of obtaining these results, we introduce the notion of local polarity for ovoid-spread pairings and show that if an ovoid-spread pairing is locally polar at each of its elements then it arises from a polarity.
منابع مشابه
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ورودعنوان ژورنال:
- Des. Codes Cryptography
دوره 32 شماره
صفحات -
تاریخ انتشار 2004