Notes on elation generalized quadrangles.

DOI10.1016/j.ejc.2003.07.002zbMath1040.51004OpenAlexW2014838594MaRDI QIDQ1414633

Koen Thas, Stanley E. Payne

Publication date: 4 December 2003

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2003.07.002

zbMATH Keywords

generalized quadrangleelationflock generalized quadrangle

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12)

Related Items (12)

Central aspects of skew translation quadrangles. I. ⋮ Subquadrangles of order \(s\) of generalized quadrangles of order \((s,s^{2})\). III ⋮ A Kantor family admitting a normal F-factor constitutes a p-group ⋮ A question of Kantor on elations of dual translation generalized quadrangles ⋮ Moufang-like conditions for generalized quadrangles and classification of all finite quasi-transi\-tive generalized quadrangles ⋮ Solution of a question of Knarr ⋮ Strongly regular graphs with parameters (81, 30, 9, 12) and a new partial geometry ⋮ A generalized quadrangle of order \((s,t)\) with center of transitivity is an elation quadrangle if \(s \leq t\) ⋮ Elation generalized quadrangles of order (q, q ²), q even, with a classical subquadrangle of order q ⋮ Certain Roman and flock generalized quadrangles have nonisomorphic elation groups ⋮ Foundations of elation generalized quadrangles ⋮ On partial geometries arising from maximal arcs

Cites Work

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• Groups admitting a Kantor family and a factorized normal subgroup
• The fundamental theorem of \(q\)-clan geometry
• Groups which produce generalized quadrangles
• Generalized quadrangles and flocks of cones
• Generalized quadrangles associated with \(G_ 2(\)q)
• Characterisations of flock quadrangles
• The classification of generalized quadrangles with two translation points
• A theorem concerning nets arising from generalized quadrangles with a regular point
• TRANSLATION GENERALIZED QUADRANGLES FOR WHICH THE TRANSLATION DUAL ARISES FROM A FLOCK

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