The fundamental theorem of \(q\)-clan geometry

DOI10.1007/BF00130578zbMath0874.51001OpenAlexW1512626360MaRDI QIDQ677173

Stanley E. Payne

Publication date: 4 November 1997

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

Full work available at URL: https://doi.org/10.1007/bf00130578

zbMATH Keywords

flocktranslation planegeneralized quadrangleprojective equivalencequadratic cone\(q\)-clanline spread

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25) Spreads and packing problems in finite geometry (51E23)

Related Items (13)

Classification of flocks of the quadratic cone in PG(3,64) ⋮ Automorphism groups of generalized quadrangles via an unusual action of \(P\Gamma L (2,2^h)\) ⋮ A stabilizer Lemma for translation generalized quadrangles ⋮ Classification of spreads of Tits quadrangles of order 64 ⋮ The Ghinelli--Löwe construction of generalized quadrangles ⋮ Notes on elation generalized quadrangles. ⋮ Construction of BLT-sets over small fields. ⋮ Some flocks in characteristic 3 ⋮ On prime order automorphisms of generalized quadrangles ⋮ \(\alpha\)-flocks with oval herds and monomial hyperovals ⋮ Monomial flocks and herds containing a monomial oval ⋮ On infinite \(K\)-clan geometry ⋮ Foundations of elation generalized quadrangles

Cites Work

• An essay on skew translation generalized quadrangles
• Some generalized quadrangles with parameters \(q^ 2,q\)
• Flocks of a quadratic cone in PG(3,q), q\(\leq 8\)
• Generalized quadrangles and flocks of cones
• Flocks of quadratic cones, generalized quadrangles and translation planes
• Generalized quadrangles associated with \(G_ 2(\)q)
• Conical flocks, partial flocks, derivation, and generalized quadrangles
• On \(q\)-clan geometry, \(q=2^ e\)
• Collineations of the Subiaco generalized quadrangles
• Derivation of Flocks of Quadratic Cones
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