The Ghinelli--Löwe construction of generalized quadrangles
type: Item
instance of: scholarly article
title: The Ghinelli--Löwe construction of generalized quadrangles
zbMATH Open document ID: 1029.51009
DOI: 10.1016/S0195-6698(03)00043-X
author: Stanley E. Payne
author: Dina Ghinelli
published in: European Journal of Combinatorics
publication date: 2003-07-30T00:00:00Z
review text: The authors dig up an old construction of some finite generalized quadrangles due to Ghinelli and Löwe, which was never published. No new examples arise, but the authors identify earlier examples of this method (and these examples were not identified before) as flock quadrangles of Cantor-Knuth type. A crucial argument is a beautiful theorem by Thas that guarantees a quadrangle to be a flock quadrangle if Property (G) holds at a point [\textit{J. A. Thas}, J. Comb. Theory, Ser. A 87, 247-272 (1999; Zbl 0949.51003)].
Mathematics Subject Classification ID: 51E12
zbMATH DE Number: 1957113
zbMATH Keywords: regular point
zbMATH Keywords: translation generalized quadrangle
zbMATH Keywords: property (G)
zbMATH Keywords: Cantor-Knoth semifield flock
reviewed by: Hendrik Van Maldeghem
MaRDI profile type: Publication
cites work: The fundamental theorem of \(q\)-clan geometry
cites work: Q3344217
cites work: Symplectic spreads in \(PG(3,q)\), inversive planes and projective planes
cites work: Generalized quadrangles of order \((s,s^2)\). III
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description: scientific article; zbMATH DE number 1957113