Products of commutators of involutions in skew linear groups

DOI10.1007/s40306-024-00532-wMaRDI QIDQ6597145

Nguyen Thi Thai Ha, Phan Hoang Nam, Tran Nam Son

Publication date: 3 September 2024

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

zbMATH Keywords

matrix decompositioncommutator lengthlinear groupinvolution length

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Finite-dimensional division rings (16K20) Skew fields, division rings (12E15) Special matrices (15B99)

Related Items (1)

Products of commutators of unipotent matrices of index 2 in \(\mathrm{GL}_n(\mathbb{H})\)

Cites Work

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• On commutators in real semisimple Lie groups
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• On the length of commutators in Chevalley groups.
• Products of involutory matrices over rings
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• Products of commutators on a general linear group over a division algebra
• Elementary expressions for unimodular matrices
• A Note on Subnormal Subgroups of Division Algebras
• Quaternions and matrices of quaternions
• Finite dimensional zero product determined algebras are generated by idempotents
• Involution widths of skew linear groups generated by involutions
• A certain decomposition of infinite invertible matrices over division algebras

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