The exceptional hyperplanes of \(DH(5,4)\)

DOI10.1016/J.EJC.2006.05.015zbMath1132.51004OpenAlexW2014834087MaRDI QIDQ881811

Harm Pralle, Bart De Bruyn

Publication date: 18 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2006.05.015

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (15)

Hyperplanes of Hermitian dual polar spaces of rank 3 containing a quad ⋮ On small and large hyperplanes of \(DW (5, q )\) ⋮ Geometric hyperplanes of the near hexagon \(L_{3} \times GQ(2, 2)\) ⋮ The hyperplanes of the \(U_{4}(3)\) near hexagon ⋮ The exceptional hyperplanes of \(DH(5,4)\) ⋮ The hyperplanes of the glued near hexagon \(Q(5,2)\otimes Q(5,2)\) ⋮ The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces ⋮ On sets of odd type of \(\mathrm{PG}(n,4)\) and the universal embedding of the dual polar space \(\mathrm{DH}(2n-1,4)\) ⋮ Two new classes of hyperplanes of the dual polar space \(DH(2n-1,4)\) not arising from the Grassmann embedding ⋮ On the simple connectedness of hyperplane complements in dual polar spaces. II. ⋮ The hyperplanes of the near hexagon on the 2-factors of the complete graph \(K_8\) ⋮ 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 ⋮ The simple connectedness of hyperplane complements in thick dual polar spaces of rank at least 4

Cites Work

• Unnamed Item
• The exceptional hyperplanes of \(DH(5,4)\)
• Near \(n\)-gons and line systems
• Near polygons and Fischer spaces
• Uniform hyperplanes of finite dual polar spaces of rank 3

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