Elsevier

Discrete Mathematics

Volume 307, Issue 22, 28 October 2007, Pages 2680-2694
Discrete Mathematics

Hyperplanes of DW(2n-1,q), q2, without ovoidal quads

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Abstract

We determine all hyperplanes of DW(2n-1,q), q2, without ovoidal quads. We will show that each such hyperplane either consists of all maximal singular subspaces of W(2n-1,q) which meet a given (n-1)-dimensional subspace of PG(2n-1,q) or (only when q is even) arises from the spin-embedding of DW(2n-1,q).

MSC

51A45
51A50

Keywords

(Symplectic) dual polar space
Hyperplane
Spin-embedding

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