Lattices generated by orbits of subspaces under finite singular pseudo-symplectic groups. II.

DOI10.1016/j.ffa.2009.01.003zbMath1179.51004OpenAlexW2076163339MaRDI QIDQ1017418

Juan Xu, You Gao

Publication date: 19 May 2009

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2009.01.003

zbMATH Keywords

geometric latticeorbit of subspacessingular pseudo-symplectic groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Lattices of subspaces and geometric closure systems (51D25) Other matrix groups over finite fields (20H30)

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Lattices generated by orbits of subspaces under finite singular orthogonal groups. I ⋮ Erdős-Ko-Rado theorems in certain semilattices ⋮ Lattices generated by orbits of subspaces under finite singular orthogonal groups. II. ⋮ Uniform posets and Leonard pairs based on unitary spaces over finite fields

Cites Work

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• Lattices generated by orbits of totally isotropic flats under finite affine-classical groups
• Lattices generated by orbits of subspaces under finite singular unitary group and its characteristic polynomials
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• Lattices Generated by Orbits of Flats Under Finite Affine Groups
• On the geometricity of lattices generated by orbits of subspaces under finite classical groups