Inclusion matrix of \(k\) vs. \(l\) affine subspaces and a permutation module of the general affine group

DOI10.1016/0097-3165(93)90062-DzbMath0778.05026MaRDI QIDQ1801792

Arieh Yakir

Publication date: 15 December 1993

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

finite fieldrankaffine subspacesinclusion matricespermutation modulegeneral affine group

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear algebraic groups over finite fields (20G40) Finite fields and commutative rings (number-theoretic aspects) (11T99) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (2)

Rank of inclusion matrices and modular representation theory ⋮ Group testing with geometry of classical groups over finite fields

Cites Work

• Rank of inclusion matrices and modular representation theory
• A diagonal form for the incidence matrices of \(t\)-subsets vs. \(k\)- subsets
• On incidence matrices of finite projective and affine spaces

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