Lattices Generated by Orbits of Flats Under Finite Affine Groups

DOI10.1080/00927870500542697zbMath1123.51007OpenAlexW2061359751MaRDI QIDQ5478684

Kaishun Wang, Yan Quan Feng

Publication date: 13 July 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500542697

zbMATH Keywords

latticeflatsgeometric latticeatomic lattice

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Combinatorial aspects of matroids and geometric lattices (05B35) Lattices of subspaces and geometric closure systems (51D25)

Related Items (19)

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 ⋮ Lattices generated by orbits of subspaces under finite singular orthogonal groups. I ⋮ 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 ⋮ 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 ⋮ 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 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-symplectic groups ⋮ Lattices associated with totally isotropic subspaces in classical spaces

Cites Work

• 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 transitive sets of subspaces under finite pseudo-symplectic groups
• Lattices generated by transitive sets of subspaces under finite classical groups III the orthogonal case of even characteristic
• On the geometricity of lattices generated by orbits of subspaces under finite classical groups
• Unnamed Item

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