scientific article; zbMATH DE number 7510493

zbMath1487.15015MaRDI QIDQ5071133

Truong Huu Dung, Nguyen Thi Thai Ha, Mai Hoang Bien, Tran Nam Son

Publication date: 20 April 2022

Full work available at URL: https://journals.uwyo.edu/index.php/ela/article/view/6797

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zbMATH Keywords

involutioncommutatorspecial linear groupmatrix decomposition

Mathematics Subject Classification ID

Factorization of matrices (15A23) Canonical forms, reductions, classification (15A21) Other matrix groups over fields (20H20)

Related Items (3)

Decompositions of matrices over division algebras into products of commutators ⋮ Involution widths of skew linear groups generated by involutions ⋮ Products of unipotent elements in certain algebras

Cites Work

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• Commutators and companion matrices over rings of stable rank 1
• On the word length of commutators in \(\text{GL}_n(R)\)
• Decomposition of matrices into commutators of involutions
• Decomposition of infinite matrices into products of commutators of involutions
• The elements of the orthogonal group \(\Omega_ n(V)\) as products of commutators of symmetries
• On a unification result by A. R. Sourour concerning commutators and products of involutions
• A factorization theorem for matrices
• Commutators in the Special and General Linear Groups

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