On types and classes of commuting matrices over finite fields

DOI10.1112/jlms/jdq088zbMath1211.15025arXiv1001.0811OpenAlexW3103310110MaRDI QIDQ5392196

John R. Britnell, Mark Wildon

Publication date: 8 April 2011

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0811

zbMATH Keywords

canonical formsfinite fieldscommuting matricesnilpotent matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Commutativity of matrices (15A27) Canonical forms, reductions, classification (15A21)

Related Items (8)

On the nilpotent commutator of a nilpotent matrix ⋮ Real classes of finite special unitary groups. ⋮ Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrix ⋮ Nilpotent matrices having a given Jordan type as maximum commuting nilpotent orbit ⋮ Permutations over cyclic groups ⋮ \(z\)-classes in groups: a survey ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups ⋮ Artinian algebras and Jordan type

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