Solution of a question of Knarr

DOI10.1090/S0002-9939-07-09136-8zbMath1133.51003OpenAlexW1977300454MaRDI QIDQ5441182

Koen Thas

Publication date: 8 February 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09136-8

zbMATH Keywords

elation groupelation generalized quadrangletranslation generalized quadrangleselation point

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Generalized quadrangles and generalized polygons in finite geometry (51E12) Groups with a (BN)-pair; buildings (20E42)

Related Items (6)

Central aspects of skew translation quadrangles. I. ⋮ Linearly small elation quadrangles ⋮ Generalized quadrangles from a local point of view ⋮ Local half Moufang quadrangles ⋮ Elation generalized quadrangles with extra automorphisms and trivial spans ⋮ A generalized quadrangle of order \((s,t)\) with center of transitivity is an elation quadrangle if \(s \leq t\)

Cites Work

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• Moufang-like conditions for generalized quadrangles and classification of all finite quasi-transi\-tive generalized quadrangles
• Groups admitting a Kantor family and a factorized normal subgroup
• Groups which produce generalized quadrangles
• Buildings of spherical type and finite BN-pairs
• Groups with a (B,N)-pair of rank 2. I
• Symmetry in generalized quadrangles
• Notes on elation generalized quadrangles.
• A theorem concerning nets arising from generalized quadrangles with a regular point
• Some basic questions and conjectures on elation generalized quadrangles, and their solutions
• Foundations of elation generalized quadrangles
• Geometric characterizations of finite Chevalley groups of type B₂

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