Flocks and partial flocks of quadrics: A survey

DOI10.1016/S0378-3758(00)00264-0zbMath1008.51013OpenAlexW1993166963MaRDI QIDQ5934184

Joseph A. Thas

Publication date: 25 March 2003

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(00)00264-0

zbMATH Keywords

flocks of conespartial flocks of quadricsquadric

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Finite partial geometries (general), nets, partial spreads (51E14)

Related Items

Generalized quadrangles of order \((s,s^ 2)\). II, Point derivation of partial geometries., Translation ovoids of flock generalized quadrangles., Sum uniform subsets of the integers modulo \(p\) and an application to finite fields, Open problems in finite projective spaces, Topological parallelisms of the real projective 3-space

Cites Work

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• Generalized quadrangles and flocks of cones
• Flocks of quadratic cones, generalized quadrangles and translation planes
• Some new examples of flocks of \(Q^+(3,q)\)
• Flocks of hyperbolic quadrics and translation planes admitting affine homologies
• On the flocks of \(Q^+(3,q)\)
• Conical flocks, partial flocks, derivation, and generalized quadrangles
• A class of translation planes
• Flocks in \(\mathrm{PG}(3,q)\)
• \(\alpha\)-flocks and hyperovals
• The affine plane \(AG(2,q)\), \(q\) odd, has a unique one point extension
• Partial flocks of quadratic cones with a point vertex in \(PG(n,q)\), \(n\) odd
• An orderly algorithm and some applications in finite geometry
• \(k\)-arcs and partial flocks
• Maximal Baer groups in translation planes and compatibility with homology groups
• Flocks and ovals
• Möbiusebenen gerader Ordnung
• The Steiner system \(S(3,6,26)\)
• Uniqueness of the inversive plane of order 5
• Uniqueness of the inversive plane of order 7
• Derivation of Flocks of Quadratic Cones
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