In this paper we establish the existence of a configuration in PG(2n + 1, 2), n ≥ 2, a particular case of which is described in detail in [3]. The general configuration consists of two sets of 2 n + 1 spaces of dimension n related by a bijection so that two related n-spaces meet in an (n -1)-space,
Blocking (n −  2) -dimensional Subspaces onQ(2n , q)
✍ Scribed by Deirdre Luyckx
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 101 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0195-6698
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✦ Synopsis
It will be shown that the smallest set B of points on the parabolic quadric Q(2n, q), q ≥ 4 and n ≥ 3, with the property that every (n -2)-dimensional subspace on Q(2n, q) has at least one point in common with B, consists of the non-singular points of an induced quadric π n-4 Q -(5, q) ⊆ Q(2n, q), where π n-4 denotes an (n -4)-dimensional subspace on Q(2n, q).
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