Flocks, ovoids of \(Q(4,q)\) and designs

DOI10.1023/A:1004956303917zbMath0881.51012OpenAlexW22472467MaRDI QIDQ1360954

Guglielmo Lunardon

Publication date: 17 February 1998

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004956303917

zbMATH Keywords

flocktranslation planeovoid

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20) Translation planes and spreads in linear incidence geometry (51A40) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (17)

The six semifield planes associated with a semifield flock ⋮ Subquadrangles of order \(s\) of generalized quadrangles of order \((s,s^{2})\). III ⋮ The generalized translation dual of a semifield ⋮ On translation spreads of \(H(q)\) ⋮ Generalized quadrangles of order \((s, s^2)\). IV. Translations, Moufang and Fong-Seitz ⋮ Projective planes of Lenz-Barlotti class V. ⋮ Eggs in finite projective spaces and unitals in translation planes ⋮ Classification of 8-dimensional rank two commutative semifields ⋮ Spreads in \(H(q)\) and 1-systems of \(Q(6,q)\) ⋮ The twisted cubic in \(PG(3,q)\) and translation spreads in \(H\)(\(q\)) ⋮ Eggs in PG(\(4n-1,q\)), \(q\) even, containing a pseudo-pointed conic ⋮ Sublines of prime order contained in the set of internal points of a conic ⋮ On monomial flocks ⋮ Linear sets in finite projective spaces ⋮ Maximal arcs in PG(2, q) and partial flocks of the quadratic cone ⋮ Subquadrangles of order \(s\) of generalized quadrangles of order (\(s,s^{2}\)). II ⋮ A new semifield flock

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