Similarity overSL(n, F)

DOI10.1080/03081088208817486zbMath0494.15008OpenAlexW1986264964MaRDI QIDQ3957081

Morris Newman

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/03081088208817486

zbMATH Keywords

finite fieldFrobenius normal formSmith normal formconjugacy problemelementary divisorsnorm propertysimilarity over GL(n,F) and SL(n,F)

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrices of integers (15B36) Canonical forms, reductions, classification (15A21)

Related Items (4)

Powers of 1-cyclic conjugacy classes in the groups GL\(_ n(F)\) and SL\(_ n(F)\) ⋮ The extended covering number of \(\text{SL}_n\) is \(n+1\). ⋮ Similarity of matrices under SL(n,K) ⋮ Covering the grouppsl_n{F) by the square of a conjugacy class

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