Flocks of a quadratic cone in PG(3,q), q\(\leq 8\)
type: Item
instance of: scholarly article
title: Flocks of a quadratic cone in PG(3,q), q\(\leq 8\)
zbMATH Open document ID: 0638.51014
DOI: 10.1007/BF00151670
published in: Geometriae Dedicata
publication date: 1988-01-01T00:00:00Z
review text: Let O be a \((q+1)\)-arc of PG(2,q) (or an oval of PG(2,q) if q is even), and let \({\mathcal C}(0)\) be the cone that projects 0 from a point x of PG(3,q)-PG(2,q). Then a partition of \({\mathcal C}(0)-\{x\}\) into q disjoint plane \((q+1)-arcs\) (or ovals) is called a flock of \({\mathcal C}(0)\). The authors determine all flocks of \({\mathcal C}(0)\) for \(q\leq 8\).
reviewed by: E. J. F. Primrose
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 4040701
zbMATH Keywords: k-arcs
zbMATH Keywords: oval
zbMATH Keywords: cone
zbMATH Keywords: partition
author: F. De Clerck
author: Hans Gevaert
author: Joseph A. Thas
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00151670
OpenAlex ID: W2067447212
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description: scientific article; zbMATH DE number 4040701