Isomorphisms of the linear groups \(\operatorname{GL}_{2}(R)\) over associative rings \(R\)

DOI10.1016/j.jalgebra.2017.11.025zbMath1427.20069OpenAlexW2771355932MaRDI QIDQ1702721

Alexander V. Mikhalev, Igor Z. Golubchik

Publication date: 28 February 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.11.025

zbMATH Keywords

isomorphismsautomorphismsfull linear groupthe involution method

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Other matrix groups over rings (20H25) Automorphism groups of groups (20F28)

Cites Work

• Unnamed Item
• A new type of automorphism of the general linear group over a ring
• Isomorphisms of a complete linear group over an associative ring
• Isomorphisms of linear groups over an associative ring
• Canonical form of automorphisms of the group \(SL_ 2\) over rings close to fields
• Automorphisms of two-dimensional congruence groups
• Aut(GL₂(R)) for rings with many units
• Automorphisms of the Two-Dimensional Linear Groups Over Integral Domains

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