The hyperplanes of DH(5, q 2)

DOI10.1515/FORUM.2008.012zbMath1158.51002MaRDI QIDQ3516708

Harm Pralle, Bart De Bruyn

Publication date: 11 August 2008

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

hyperplanesdual polar space \(DH(5,q^2)\)

Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (18)

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 hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings ⋮ The hyperplanes of the glued near hexagon \(Q(5,2)\otimes Q(5,2)\) ⋮ On hyperbolic sets of maxes in dual polar spaces ⋮ The hyperplanes of finite symplectic dual polar spaces which arise from projective embeddings ⋮ On sets of odd type of \(\mathrm{PG}(n,4)\) and the universal embedding of the dual polar space \(\mathrm{DH}(2n-1,4)\) ⋮ New flag-transitive geometries for the groups \(\mathrm{Sp}_4(K)\) and \(\mathrm{SU}_5(K)\) ⋮ Direct constructions of hyperplanes of dual polar spaces arising from embeddings ⋮ 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. ⋮ On the Grassmann modules for the unitary groups ⋮ The hyperplanes of the near hexagon on the 2-factors of the complete graph \(K_8\) ⋮ 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 ⋮ Regular partitions of dual polar spaces

Cites Work

• Near \(n\)-gons and line systems
• Characterization of Hermitian curves
• Near polygons and Fischer spaces
• On the generation of dual polar spaces of unitary type over finite fields
• Maximal arcs in Desarguesian planes of odd order do not exist
• On near hexagons and spreads of generalized quadrangles
• The distance-2-sets of the slim dense near hexagons
• On regular {v, n}‐arcs in finite projective spaces
• Some maximal arcs in finite projective planes

This page was built for publication: The hyperplanes of DH(5, q 2)