Lattices generated by orbits of flats under finite affine-symplectic groups

DOI10.1016/J.LAA.2009.03.002zbMath1184.51004OpenAlexW2041957118MaRDI QIDQ1030717

Jun Guo, Ji Zhu Nan

Publication date: 2 July 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.002

zbMATH Keywords

orbitgeometric latticeaffine-symplectic group

Mathematics Subject Classification ID

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

Related Items (5)

Lattices generated by joins of the flats in orbits under finite affine-singular symplectic 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 ⋮ Posets associated with subspaces in a \(d\)-bounded distance-regular graph

Cites Work

• Lattices associated with vector spaces over a finite field
• Lattices generated by orbits of totally isotropic flats under finite affine-classical groups
• Arrangements in unitary and orthogonal geometry over finite fields
• Lattices generated by transitive sets of subspaces under finite classical groups I
• Lattices generated by transitive sets of subspaces under finite classical groups II the orthogonal case of odd characteristic
• Lattices Generated by Orbits of Subspaces Under Finite Singular Classical Groups and Its Characteristic Polynomials
• Lattices generated by transitive sets of subspaces under finite classical groups III the orthogonal case of even characteristic
• Lattices Generated by Orbits of Flats Under Finite Affine Groups
• On the geometricity of lattices generated by orbits of subspaces under finite classical groups
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