Exterior sets of hyperbolic quadrics
type: Item
instance of: scholarly article
title: Exterior sets of hyperbolic quadrics
zbMATH Open document ID: 0971.51006
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2001-11-01T00:00:00Z
review text: An exterior set of a hyperbolic quadric \(Q=Q^+ (2n-1,q)\) in \(PG(2n-1,q)\) is a point set \(X\) for which no line joining two distinct elements of \(X\) intersects \(Q\). It is easy to see that \(|X|\leq (q^n-1)/(q-1)\), and all exterior sets meeting this bound were classified by \textit{J. A. Thas} in 1991 [J. Comb. Theory, Ser. A 56, No. 2, 303-308 (1991; Zbl 0721.51009)]; with one exception in \(PG(5,2)\), one always has the case of dimension \(d=3\). The author obtains recursively stronger upper bounds than the obvious one, based on a detailed investigation of the case of dimension 5.
reviewed by: Dieter Jungnickel
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 51E21
Mathematics Subject Classification ID: 51E23
zbMATH DE Number: 1547320
zbMATH Keywords: hyperbolic quadric
zbMATH Keywords: exterior sets
author: Andreas Klein
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1547320