3 DW ( 2 n , q ) , n ≥ 3 , has no ovoid : A single proof
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چکیده
An ovoid of a dual polar space ∆ is a point set meeting every line of ∆ in exactly one point. For the symplectic dual polar space DW (6, q), Cooperstein and Pasini [2] have recently proved no ovoid exists if q is odd. Earlier, Shult has proved the same for even q (cf. [3, 2.8]). In this paper, we prove the non-existence of ovoids in DW (6, q) independently from the parity of q. MSC 2000: 51A15, 51A50,
منابع مشابه
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تاریخ انتشار 2008