Spreads, flocks, and generalized quadrangles
type: Item
instance of: scholarly article
title: Spreads, flocks, and generalized quadrangles
zbMATH Open document ID: 0656.51010
DOI: 10.1007/BF01230611
author: Stanley E. Payne
published in: Journal of Geometry
publication date: 1988-01-01T00:00:00Z
review text: A spread of PG(3,q), q an odd prime, constructed by R. Baker and G. Ebert (unpublished), is isomorphic to a spread derived by J. A. Thas (unpublished) from a work of \textit{J. C. Fisher} and \textit{J. A. Thas} [Mat. Z. 169, 1-11 (1979; Zbl 0396.51009)]. Associate with it is a generalized quadrangle, which therefore is not new, but whose new definition allows to find the collineation previously sought unsuccessfully by the author (unpublished). Reviewer's comment: the paper rests heavily on several unpublished papers.
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 4071783
zbMATH Keywords: projective geometry
zbMATH Keywords: flock
zbMATH Keywords: clan
zbMATH Keywords: inversive plane
zbMATH Keywords: spread
zbMATH Keywords: generalized quadrangle
reviewed by: Jean Porte
MaRDI profile type: Publication
cites work: Q3803733
cites work: Q5545191
cites work: Q3251484
cites work: Q3769506
cites work: Q3797783
cites work: Generalized quadrangles and flocks of cones
full work available at URL: https://doi.org/10.1007/bf01230611
OpenAlex ID: W2003894174
description: scientific article; zbMATH DE number 4071783