The elementary divisors of the incidence matrices of points and linear subspaces in \(\mathbb{P}^n(\mathbb{F}_p)\)

DOI10.1006/jabr.2000.8387zbMath0970.51012OpenAlexW2048805256MaRDI QIDQ1588388

Peter K. W. Sin

Publication date: 16 October 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8387

zbMATH Keywords

divisorsincidence matrices of points

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Lattices of subspaces and geometric closure systems (51D25)

Related Items (5)

The permutation action of finite symplectic groups of odd characteristic on their standard modules. ⋮ The elementary divisors of the incidence matrix of skew lines in $\mathrm{PG}(3,q)$ ⋮ Recent progress in algebraic design theory ⋮ The invariant factors of the incidence matrices of points and subspaces in 𝑃𝐺(𝑛,𝑞) and 𝐴𝐺(𝑛,𝑞) ⋮ The invariant factors of some cyclic difference sets

Cites Work

• On certain Abelian groups associated with finite projective geometries
• Rank of inclusion matrices and modular representation theory
• Representations of Algebraic Groups
• The Permutation Modules for GL(n +1, F _q ) Acting on P ⁿ (F _q ) and Fqn+1
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