Lattices generated by transitive sets of subspaces under finite classical groups II the orthogonal case of odd characteristic

DOI10.1080/00927879208824485zbMath0821.20030OpenAlexW4241950239MaRDI QIDQ4030335

Ying-Sheng Liu, Yuan-Ji Huo, Zhe-Xian Wan

Publication date: 1 April 1993

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879208824485

zbMATH Keywords

characteristic polynomialsfinite orthogonal groupsnondegenerate symmetric formslattices of subspaces

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Geometry of classical groups (51N30) Lattices of subspaces and geometric closure systems (51D25)

Related Items (29)

Lattices generated by transitive sets of subspaces under finite classical groups III the orthogonal case of even characteristic ⋮ Lattices generated by strongly closed subgraphs in \(d\)-bounded distance-regular graphs ⋮ Lattices generated by orbits of subspaces under finite singular pseudo-symplectic groups. I. ⋮ Lattices generated by two orbits of subspaces under finite singular symplectic groups ⋮ Geometry of classical groups over finite fields and its applications ⋮ Lattices generated by orbits of subspaces under finite singular orthogonal groups. I ⋮ Lattices generated by transitive sets of subspaces under finite pseudo-symplectic groups ⋮ Lattices generated by joins of the flats in orbits under finite affine-singular symplectic group and its characteristic polynomials ⋮ Lattices generated by orbits of subspaces under finite singular unitary group and its characteristic polynomials ⋮ Lattices Associated with Partial Injective Linear Maps of Finite Vector Spaces ⋮ Singular linear space and its applications ⋮ Erdős-Ko-Rado theorems in certain semilattices ⋮ Lattices associated with vector spaces over a finite field ⋮ Lattices generated by orbits of totally isotropic flats under finite affine-classical groups ⋮ Lattices generated by join of strongly closed subgraphs in \(d\)-bounded distance-regular graphs ⋮ Lattices associated with distance-regular graphs ⋮ Normalized Matching Property of Posets Generated by Orbits of Subspaces Under Finite Symplectic Groups ⋮ Lattices generated by orbits of subspaces under finite singular orthogonal groups. II. ⋮ Posets associated with subspaces in a \(d\)-bounded distance-regular graph ⋮ Lattices Generated by Two Orbits of Subspaces Under Finite Singular Classical Groups ⋮ Lattices Generated by Orbits of Subspaces Under Finite Singular Classical Groups and Its Characteristic Polynomials ⋮ On the geometricity of lattices generated by orbits of subspaces under finite classical groups ⋮ Lattices generated by subspaces in \(d\)-bounded distance-regular graphs ⋮ Lattices generated by two orbits of subspaces under finite classical groups ⋮ Lattices generated by orbits of subspaces under finite singular pseudo-symplectic groups. II. ⋮ Lattices Generated by Orbits of Flats Under Finite Affine Groups ⋮ Lattices generated by orbits of flats under finite affine-symplectic groups ⋮ Lattices associated with totally isotropic subspaces in classical spaces ⋮ Lattices generated by subspaces of the same dimension and rank in orthogonal geometry over finite fields of odd characteristic

Cites Work

• Unnamed Item
• Lattices generated by transitive sets of subspaces under finite classical groups I

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