Points and hyperplanes of the universal embedding space of the dual polar space DW\((5,q)\), \(q\) odd

DOI10.1307/mmj/1242071688zbMath1173.51002OpenAlexW1991513770MaRDI QIDQ1024875

Bruce N. Cooperstein, Bart De Bruyn

Publication date: 17 June 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1242071688

zbMATH Keywords

hyperplanedual polar spaceuniversal embedding space

Mathematics Subject Classification ID

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

Related Items (9)

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 ⋮ Non-classical hyperplanes of \(\mathrm{DW}(5,q)\) ⋮ The hyperplanes of finite symplectic dual polar spaces which arise from projective embeddings ⋮ New flag-transitive geometries for the groups \(\mathrm{Sp}_4(K)\) and \(\mathrm{SU}_5(K)\) ⋮ On the simple connectedness of hyperplane complements in dual polar spaces. II. ⋮ The hyperplanes of \(DW(5,2^h)\)which arise from embedding ⋮ The combinatorial properties of the hyperplanes of \(D\)W\((5,q)\) arising from embedding

Cites Work

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