Hyperplanes of \(DW(5,{\mathbb{K}})\) with \({\mathbb{K}}\) a perfect field of characteristic 2

DOI10.1007/s10801-009-0180-5zbMath1219.51003OpenAlexW1978256008MaRDI QIDQ968242

Bart De Bruyn

Publication date: 5 May 2010

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

Full work available at URL: https://doi.org/10.1007/s10801-009-0180-5

zbMATH Keywords

hyperplanesymplectic dual polar spaceperfect field

Mathematics Subject Classification ID

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

Related Items (3)

A 14-dimensional Module for the Symplectic Group: Orbits on Vectors ⋮ Hyperplanes of \(DW(5,\mathbb K)\) containing a quad ⋮ The hyperplanes of DW(5,F) arising from the Grassmann embedding

Cites Work

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• Hyperplanes of dual polar spaces and the spin module
• Minimal full polarized embeddings of dual polar spaces
• The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings
• A geometric description of the spin-embedding of symplectic dual polar spaces of rank 3
• A decomposition of the natural embedding spaces for the symplectic dual polar spaces
• The hyperplanes of \(DW(5,2^h)\)which arise from embedding
• On the nucleus of the Grassmann embedding of the symplectic dual polar space DSp\((2n,\mathbb F)\), char(\(\mathbb F) = 2\)
• Generating symplectic and Hermitian dual polar spaces over arbitrary fields nonisomorphic to \(\mathbb F_{2}\)
• On a class of hyperplanes of the symplectic and Hermitian dual polar spaces
• Some subspaces of the \(k\)th exterior power of a symplectic vector space
• Near \(n\)-gons and line systems
• Dual polar spaces
• Buildings of spherical type and finite BN-pairs
• On the generation of dual polar spaces of symplectic type over finite fields
• On Veldkamp lines
• The universal embedding dimension of the binary symplectic dual polar space
• Embeddings and expansions
• Valuations and hyperplanes of dual polar spaces
• Hyperplanes of dual polar spaces of rank 3 with no subquadrangular quad
• On symplectic polar spaces over non-perfect fields of characteristic 2
• The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces
• The Hyperplanes ofDW(5, 2)
• Absolute embeddings of point-line geometries
• On the universal embedding of the \(Sp_{2n}(2)\) dual polar space

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