Two classes of hyperplanes of dual polar spaces without subquadrangular quads

DOI10.1016/j.jcta.2007.09.003zbMath1187.51002OpenAlexW2091882590MaRDI QIDQ942176

Bart De Bruyn

Publication date: 4 September 2008

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.2007.09.003

zbMATH Keywords

hyperplanedual polar spacespin-embedding

Mathematics Subject Classification ID

Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (3)

An amalgam uniqueness result for recognising \(q^6:\mathrm{SU}_3(q)\), \(G_2(q)\), or \(3^{\cdot}M_{10}\) using biaffine polar spaces ⋮ A property of isometric mappings between dual polar spaces of type \(DQ(2n,{\mathbb{K}})\) ⋮ The hyperplanes of \(DQ^-(7,\mathbb K)\) arising from embedding

Cites Work

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• Hyperplanes of dual polar spaces and the spin module
• The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings
• The structure of the spin-embeddings of dual polar spaces and related geometries
• Dual polar spaces
• On Veldkamp lines
• Geometric hyperplanes of the half-spin geometries arise from embeddings
• Affine polar spaces
• Locally singular hyperplanes in thick dual polar spaces of rank 4.
• On the hyperplanes of the half-spin geometries and the dual polar spaces \(DQ(2n, \mathbb K)\)
• A note on embedding and generating dual polar spaces
• Hyperplanes of dual polar spaces of rank 3 with no subquadrangular quad

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