Anzahl theorems in geometry oft-singular classical groups and their applications

DOI10.1080/03081087.2015.1112342zbMath1375.20053OpenAlexW2230383113MaRDI QIDQ5741232

Jun Guo, Feng-Gao Li

Publication date: 22 July 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1112342

zbMATH Keywords

normalized matching propertysuborbitEKR theorempartition strongly regularized semilattice\(q\)-weighted log-concavity\(t\)-singular classical group\(t\)-singular classical space

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Combinatorial aspects of finite geometries (05B25) Geometry of classical groups (51N30)

Cites Work

• Unnamed Item
• A generalization of the Erdős-Ko-Rado theorem to \(t\)-designs in certain semilattices
• Singular linear space and its applications
• Association schemes based on maximal totally isotropic subspaces in singular pseudo-symplectic spaces
• Suborbits of subspaces of type \((m,k)\) under finite singular general linear groups
• Log-concavity and LC-positivity
• \(q\)-weighted log-concavity and \(q\)-product theorem on the normality of posets
• Association schemes based on maximal isotropic subspaces in singular classical spaces
• Suborbits of \((m,k)\)-isotropic subspaces under finite singular classical groups
• Suborbits of \(m\)-dimensional totally isotropic subspaces under finite singular classical groups
• Association schemes based on attenuated spaces
• The Erdős-Ko-Rado theorem for vector spaces
• On chains and Sperner k-families in ranked posets
• The morphology of partially ordered sets
• Intersection theorems for systems of finite vector spaces
• On the maximum number of permutations with given maximal or minimal distance
• Anzahl theorems in finite singular symplectic, unitary and orthogonal geometries
• Normalized matching property of the subgroup lattice of an abelian \(p\)-group
• Normalized matching property of subspace posets in finite classical polar spaces
• Erdős-Ko-Rado theorems in certain semilattices
• On the automorphisms of the symplectic group over any field
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Normalized Matching Property of Restricted Subspace Lattices
• Normalized Matching in Direct Products of Partial Orders
• Normalized Matching Property of Posets Generated by Orbits of Subspaces Under Finite Symplectic Groups
• Intersecting families of permutations

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