The dual of Pasch's axiom

DOI10.1016/0195-6698(92)90064-7zbMath0749.51014OpenAlexW2117325948WikidataQ114683986 ScholiaQ114683986MaRDI QIDQ1185865

Hans Cuypers

Publication date: 28 June 1992

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0195-6698(92)90064-7

zbMATH Keywords

dual of Pasch's axiomsprojective incidence structures

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Other designs, configurations (05B30) Combinatorial aspects of finite geometries (05B25) Graph theory (05C99) Structure and classification of infinite or finite groups (20E99) General theory of linear incidence geometry and projective geometries (51A05) Other finite nonlinear geometries (51E25) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (11)

A distance-regular graph with bipartite geodetically closed subgraphs. ⋮ On strongly closed subgraphs of highly regular graphs ⋮ A characterization of the odd graphs and the doubled odd graphs with a few of their intersection numbers ⋮ A characterization of Grassmann graphs ⋮ A characterization of Grassmann and attenuated spaces as \((0,\alpha)\)-geometries. ⋮ Coverings and homotopy of a graph ⋮ Problems by the wayside ⋮ Applications of the retracing method for distance-regular graphs ⋮ On some recent progress in the classification of (\(P\) and \(Q\))-polynomial association schemes ⋮ On uniformly geodetic graphs ⋮ A characterization of the doubled Grassmann graphs, the doubled Odd graphs, and the Odd graphs by strongly closed subgraphs

Cites Work

• The hyperbolic lines of finite symplectic spaces
• Pasch's axiom and projective spaces
• Two remarks on Huang's characterization of the bilinear forms graphs
• Buildings of spherical type and finite BN-pairs
• Characterization of projective incidence structures
• Symplectic geometries, transvection groups, and modules
• Distance-regularised graphs are distance-regular or distance-biregular
• Einfache Gruppen, die von einer Konjugiertenklasse von Elementen der Ordnung drei erzeugt werden
• On the foundations of polar geometry
• Some 3-Transposition Groups with Normal 2-Subgroups
• CLASSIFYING COPOLAR SPACES AND GRAPHS
• On a Characterization of Grassmann Space Representing the h-Dimensional Subspaces in a Projective Space
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