Simple connectedness of hyperplane complements in some geometries related to buildings

DOI10.1016/j.jcta.2010.02.005zbMath1253.51009OpenAlexW2005175823MaRDI QIDQ618318

Anna Kasikova

Publication date: 14 January 2011

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2010.02.005

zbMATH Keywords

buildingspoint-line spaceparapolar spacesconvex subspaceshyperplane complementssymplecta

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Buildings and the geometry of diagrams (51E24) Combinatorial structures in finite projective spaces (51E20) Finite geometry and special incidence structures (51E99)

Related Items (1)

Vertex opposition in spherical buildings

Cites Work

• Embeddings and hyperplanes of discrete geometries
• Geometric hyperplanes of Lie incidence geometries
• A characterization of some geometries of Lie type
• On locally polar geometries whose planes are affine
• Geometric hyperplanes of embeddable Grassmannians
• Buildings of spherical type and finite BN-pairs
• A characterization of some Lie incidence structures
• On Veldkamp lines
• Geometric hyperplanes of the half-spin geometries arise from embeddings
• Embeddings and hyperplanes of the Lie incidence geometry of type \(E_{7,1}\)
• An axiom system for metasymplectic spaces
• On the foundations of polar geometry
• Point-line characterizations of Lie geometries
• On characterizing the long-root geometries
• Absolute embeddings of point-line geometries
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