Problems by the wayside

DOI10.1016/j.disc.2004.04.046zbMath1080.51001OpenAlexW2065063565MaRDI QIDQ557092

Ernest E. Shult

Publication date: 23 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.disc.2004.04.046

zbMATH Keywords

ovoidsfinite geometrypolar spacesdiagonal axiom

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Buildings and the geometry of diagrams (51E24) Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (13)

Ovoids of \(\mathcal{H}(3, q^2)\), \(q\) odd, admitting a group of order \(\frac{(q + 1)^3}{2}\) ⋮ New non-existence proofs for ovoids of Hermitian polar spaces and hyperbolic quadrics ⋮ Hermitian indicator sets ⋮ Special sets of the Hermitian surface and Segre invariants ⋮ Blocking sets and semifields ⋮ Shult sets and translation ovoids of the Hermitian surface ⋮ Spreads of PG(3, q) and ovoids of polar spaces ⋮ Pseudo-ovals of elliptic quadrics as Delsarte designs of association schemes ⋮ On ovoids of the generalized quadrangle \(H(3,q^2)\) ⋮ Planes and processes ⋮ On semiclassical translation ovoids of \(H(3,q^2)\) ⋮ Special sets of the Hermitian surface and indicator sets ⋮ Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines

Cites Work

• Points and lines. Characterizing the classical geometries
• New families of ovoids in \(O\) \(+_ 8\)
• The dual of Pasch's axiom
• Characterization of projective incidence structures
• Flat lax and weak lax embeddings of finite generalized hexagons
• On linear representations of \((\alpha,\beta)\)-geometries
• Symplectic geometries, transvection groups, and modules
• \(m\)-systems of polar spaces
• Spreads and ovoids in finite generalized quadrangles
• \(m\)-systems of polar spaces and SPG reguli
• The uniqueness of the 1-system of \(Q^-(7,q)\), \(q\) odd
• Ovoidal translation planes
• Hyperplanes of dual polar spaces of rank 3 with no subquadrangular quad
• Some Geometries Associated with Parabolic Representations of Groups of Lie Type
• On a Characterization of Grassmann Space Representing the h-Dimensional Subspaces in a Projective Space
• Constructions of Polygons From Buildings
• Uniform hyperplanes of finite dual polar spaces of rank 3
• A remark on non-uniform hyperplanes of finite thick dual polar spaces
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