Extending partial flocks containing linear subflocks
type: Item
instance of: scholarly article
title: Extending partial flocks containing linear subflocks
zbMATH Open document ID: 0848.51006
DOI: 10.1007/BF01223036
author: Norman L. Johnson
published in: Journal of Geometry
publication date: 1996-10-28T00:00:00Z
review text: A flock on a quadratic cone in \(PG (3,q)\) is a partition of the points other than the vertex into disjoint irreducible conics. The flock is linear if the planes containing the conics share a common line. There has been much work on the relations between flocks, translation planes and generalized quadrangles. The main result of this paper is that if a partial flock properly contains a linear subflock with at least \((q - 1)/2\) conics then it may be extended uniquely to a linear or Fischer flock.
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51E21
zbMATH DE Number: 872718
zbMATH Keywords: partial flock
zbMATH Keywords: linear subflock
reviewed by: Theodore G. Ostrom
MaRDI profile type: Publication
cites work: Flocks of a quadratic cone in PG(3,q), q\(\leq 8\)
cites work: Flocks of quadratic cones, generalized quadrangles and translation planes
cites work: Q3808773
cites work: Q3797783
cites work: Spreads, flocks, and generalized quadrangles
cites work: Conical flocks, partial flocks, derivation, and generalized quadrangles
cites work: \(k\)-arcs and partial flocks
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description: scientific article; zbMATH DE number 872718