Reverse decomposition of unipotents over noncommutative rings. I: General linear groups

DOI10.1016/j.laa.2020.05.013zbMath1443.15022arXiv1912.03536OpenAlexW3027267055MaRDI QIDQ2187395

Raimund Preusser

Publication date: 2 June 2020

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

Full work available at URL: https://arxiv.org/abs/1912.03536

zbMATH Keywords

general linear groupsnoncommutative ringsmatrix identities

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Linear algebraic groups over adèles and other rings and schemes (20G35) Matrix Lie algebras (15B30)

Related Items (4)

The subnormal structure of classical-like groups over commutative rings ⋮ On general linear groups over exchange rings ⋮ On products of conjugacy classes in general linear groups ⋮ Commutators of relative and unrelative elementary unitary groups

Cites Work

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• The linear homogeneous group. III
• Normal subgroups of the general linear groups over Banach algebras
• Sandwich classification for \(\mathrm{GL}_{n}(R)\), \(\mathrm{O}_{2n}(R)\) and \(\mathrm{U}_{2n}(R,\lambda)\) revisited
• Decomposition of transvections: A theme with variations
• Stable rank of rings and dimensionality of topological spaces
• \(K\)-theory and stable algebra
• Normal Subgroups of the General Linear Groups Over Von Neumann Regular Rings
• A CRASH COURSE ON STABLE RANGE, CANCELLATION, SUBSTITUTION AND EXCHANGE
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