On the simple connectedness of hyperplane complements in dual polar spaces. II.

DOI10.1016/j.disc.2010.01.007zbMath1191.51001OpenAlexW4245462932MaRDI QIDQ966002

Justin F. McInroy, Sergey V. Shpectorov

Publication date: 27 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.disc.2010.01.007

zbMATH Keywords

hyperplanedual polar spacesimple connectedness

Mathematics Subject Classification ID

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

Related Items (4)

On hyperbolic sets of maxes in dual polar spaces ⋮ Hyperplanes and projective embeddings of dual polar spaces ⋮ On extensions of hyperplanes of dual polar spaces ⋮ New flag-transitive geometries for the groups \(\mathrm{Sp}_4(K)\) and \(\mathrm{SU}_5(K)\)

Uses Software

• GAP
• Magma
• GRAPE

Cites Work

• Unnamed Item
• Hyperplanes of dual polar spaces and the spin module
• The exceptional hyperplanes of \(DH(5,4)\)
• On the simple connectedness of hyperplane complements in dual polar spaces
• The hyperplanes of \(DW(5,2^h)\)which arise from embedding
• Points and hyperplanes of the universal embedding space of the dual polar space DW\((5,q)\), \(q\) odd
• Buildings of spherical type and finite BN-pairs
• On the generation of dual polar spaces of symplectic type over finite fields
• The Magma algebra system. I: The user language
• On the generation of dual polar spaces of unitary type over finite fields
• On the foundations of polar geometry
• Flag-transitive hyperplane complements in classical generalized quadrangles
• UNIVERSAL PROJECTIVE EMBEDDINGS OF THE GRASSMANNIAN, HALF SPINOR, AND DUAL ORTHOGONAL GEOMETRIES
• The hyperplanes of DH(5, q 2)

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