Products of similar matrices

DOI10.1016/0024-3795(94)00057-3zbMath0841.20045OpenAlexW2026196568MaRDI QIDQ1906773

Frieder Knüppel

Publication date: 16 July 1996

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00057-3

zbMATH Keywords

conjugacy classesgeneral linear groupssimilarity classescovering numberspecial linear groups

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Other matrix groups over fields (20H20)

Related Items (2)

The extended covering number of \(\text{SL}_n\) is \(n+1\). ⋮ Covering GL(V) and products of blockcyclic matrices

Cites Work

• Products of cyclic conjugacy classes in the groups \(\text{PSL}(n,F)\)
• Decomposition of equiaffinities into reflections
• Factorization into \(k\)-dimensional linear bijections
• Similarity of matrices under SL(n,K)
• A factorization theorem for matrices
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