Intersection pattern of the classical ovoids in symplectic 3-space of even order

DOI10.1016/0021-8693(89)90324-4zbMath0685.51006OpenAlexW1989087044MaRDI QIDQ1826110

N. S. Narasimha Sastry, Bhaskar Bagchi

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90324-4

zbMATH Keywords

diagram geometryovoids in symplectic 3-space

Mathematics Subject Classification ID

Other finite nonlinear geometries (51E25) Other finite incidence structures (geometric aspects) (51E30)

Related Items (16)

Generalized quadrangles of order \((q,q^ 2)\), \(q\) even, containing \(W(q)\) as a subquadrangle ⋮ Ovoidal packings of \(\mathrm{PG}(3,q)\) for even \(q\) ⋮ Intriguing sets of \(\mathcal{W}(5,q)\), \(q\) even ⋮ Suzuki-Tits ovoids through the years ⋮ On near-MDS codes and caps ⋮ Hyperovals arising from a Singer group action on \(\mathcal{H}(3, q^2)\), \(q\) even ⋮ On maximal symplectic partial spreads ⋮ On the packing chromatic number of Moore graphs ⋮ On the intersection of ovoids sharing a polarity ⋮ On \(m\)-ovoids of \({\mathcal W}_3 (q)\) ⋮ Groups of maximal arcs ⋮ Collineations and dualities of partial geometries ⋮ Algebraic Codes and Geometry of Some Classical Generalized Polygons ⋮ On the character table of the association scheme \(Sp(4,q)/Sz(q)\) ⋮ Two characterizations of even order Miquelian inversive planes ⋮ Intersection pattern of Ree subgroups in G2(q), q = 32n+l > 3

Cites Work

• Two multiplicity-free permutation representations of the general linear group \(GL(n,q^ 2)\)
• Even order inversive planes, generalized quadrangles and codes
• One-step completely orthogonalizable codes from generalized quadrangles
• Two characterizations of even order Miquelian inversive planes
• On Möbius-planes of even order
• On the structure of generalized quadrangles
• The characters of the finite symplectic group Sp(4,q), q=2\(^f\)
• Endliche Gruppen I
• Simple Groups and Simple Lie Algebras
• On a class of doubly transitive groups
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