Some finite translation planes arising from \(A_ 6\)-invariant ovoids of the Klein quadric

DOI10.1007/BF01230357zbMath0705.51004OpenAlexW2045547026WikidataQ59249293 ScholiaQ59249293MaRDI QIDQ917901

Gábor Korchmáros, Mauro Biliotti

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01230357

zbMATH Keywords

translation planeovoidKlein quadric

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (4)

The translation planes of order 49 ⋮ A translation plane of order \(19^2\) admitting \(\mathrm{SL}(2,5)\), obtained by 12-nest replacement ⋮ Spreads, ovoids and \(S_ 5\) ⋮ Translation planes admitting many homologies

Cites Work

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• Orthogonal geometries over GF(2) and actions of extra-special 2-groups on translation planes
• Some translation planes of order \(p^ 2\) and of extra-special type
• Some translation planes of order \(7^ 2\) which admit \(SL_ 2(9)\)
• The Klein correspondence and the ubiquity of certain translation planes
• A characterization of some translation planes
• Collineation groups whose order is prime to the characteristic
• Translation Planes of Dimension Two with Odd Characteristic

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