On near-polygons and the coxeter cap in PG(5,3)

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2000 English Publisher:Springer Science and Business Media LLCJournal:Journal of Geometry, volume 68, pages 23-33 (issn: 0047-2468, eissn: 1420-8997,

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Authors: De Bruyn, Bart;

doi: 10.1007/bf01221058

On near-polygons and the coxeter cap in PG(5,3)

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Abstract

Let \(PG(n,q)\) be the \(n\)-dimensional projective space over the Galois field \(GF(q)\). In the paper under review an upper bound for the cardinality of a set of points in \(PG(n,q)\) with the property that no \(t\) of them are contained in a \((t-2)\)-flat \((n\geq r-2\geq 0)\) is found, and the case of equality is investigated. Also all ovoids and Cameron closed sets of the regular near-hexagon related to the extended ternary Golay code are determined.

Related Organizations

Ghent University
Belgium

Keywords

near-polygons, Combinatorial aspects of finite geometries, Cameron sets, ovoids, Finite partial geometries (general), nets, partial spreads

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