Generalized quadrangles admitting a sharply transitive Heisenberg group

DOI10.1007/S10623-007-9146-6zbMath1185.51007OpenAlexW2027039527MaRDI QIDQ1009010

Koen Thas, Stefaan De Winter

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9146-6

zbMATH Keywords

automorphism groupgeneralized quadrangleHeisenber groupPayne derivationthick finite generalized quadrangles

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Related Items (7)

Central aspects of skew translation quadrangles. I. ⋮ On generalized quadrangles with a point regular group of automorphisms ⋮ On finite generalized quadrangles of even order ⋮ Point regular groups of automorphisms of generalised quadrangles ⋮ Characterization of some 4-gonal configurations of Ahrens-Szekeres type ⋮ The point regular automorphism groups of the Payne derived quadrangle of \(W(q)\) ⋮ On prime order automorphisms of generalized quadrangles

Cites Work

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• A coordinatization of generalized quadrangles of order \((s,s+2)\)
• Regular groups on generalized quadrangles and nonabelian difference sets with multiplier -1
• Generalized quadrangles with an abelian Singer group
• Nonisomorphic generalized quadrangles
• Quadrangles of order \((s-1,s+1)\).

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