The embedding in \(\operatorname{AG}(3,q)\) of \((0,2)\)-geometries containing a planar net

DOI10.1016/j.disc.2005.02.005zbMath1059.05026OpenAlexW2020595935MaRDI QIDQ1773355

Nikias de Feyter

Publication date: 28 April 2005

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2005.02.005

zbMATH Keywords

(\(0,\alpha\))-GeometryAffine embeddingPlanar net

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45)

Related Items (5)

Classification of \((0,2)\)-geometries embedded in \(\mathrm{AG}(3,q)\) ⋮ On connected line sets of antiflag class \([0,\alpha ,q\) in \(\mathrm{AG}(n, q)\)] ⋮ The embedding in \(\text{AG}(3,q)\) of \((0,2)\)-geometries with no planar nets ⋮ The embedding in \(\operatorname{AG}(3,q)\) of \((0,2)\)-geometries containing a planar net ⋮ Affine embeddings of \((0,\alpha)\)-geometries

Cites Work

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• The embedding of \((0,\alpha)\)-geometries in \(\mathrm{PG}(n,q)\). II
• Partial geometries in finite affine spaces
• On semipartial geometries
• The embedding in \(\text{AG}(3,q)\) of \((0,2)\)-geometries with no planar nets
• The embedding in \(\operatorname{AG}(3,q)\) of \((0,2)\)-geometries containing a planar net
• On \((0,{\alpha})\)-geometries and dual semipartial geometries fully embedded in an affine space
• Strongly regular graphs, partial geometries and partially balanced designs
• The Embedding of (O,α)-Geometries in PG(n, q). Part I
• Sets of Type (1, n, q + 1) in PG(d, q)
• The embedding of (0, 2)-geometries and semipartial geometries in AG(n, q)

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