The hyperplanes of \(DW(5,2^h)\)which arise from embedding

DOI10.1016/j.disc.2007.12.011zbMath1160.51006OpenAlexW1665929684MaRDI QIDQ998528

Bart De Bruyn

Publication date: 28 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.12.011

zbMATH Keywords

universal embeddingsymplectic dual polar spaceGrassmann-embedding

Mathematics Subject Classification ID

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

Related Items (12)

Geometric hyperplanes of the near hexagon \(L_{3} \times GQ(2, 2)\) ⋮ Hyperplanes of \(DW(5,\mathbb K)\) containing a quad ⋮ The hyperplanes of the glued near hexagon \(Q(5,2)\otimes Q(5,2)\) ⋮ The hyperplanes of DW(5,F) arising from the Grassmann embedding ⋮ Minimum distance of symplectic Grassmann codes ⋮ Non-classical hyperplanes of \(\mathrm{DW}(5,q)\) ⋮ The hyperplanes of finite symplectic dual polar spaces which arise from projective embeddings ⋮ Direct constructions of hyperplanes of dual polar spaces arising from embeddings ⋮ On the simple connectedness of hyperplane complements in dual polar spaces. II. ⋮ Hyperplanes of \(DW(5,{\mathbb{K}})\) with \({\mathbb{K}}\) a perfect field of characteristic 2 ⋮ A characterization of the Grassmann embedding of \(\mathrm{H}(q)\), with \(q\) even ⋮ Points and hyperplanes of the universal embedding space of the dual polar space DW\((5,q)\), \(q\) odd

Cites Work

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