Aut(GL2(R)) for rings with many units

DOI10.1080/00927878108822573zbMath0453.20041OpenAlexW2038850433MaRDI QIDQ3900254

B. R. McDonald

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00927878108822573

zbMATH Keywords

general linear groupprimitive polynomialgroup automorphismprimitive commutative ring

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Other matrix groups over rings (20H25) Automorphism groups of groups (20F28) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items

Canonical form of automorphisms of the group \(SL_ 2\) over rings close to fields, Linear groups over general rings. I: Generalities., Homomorphisms of two-dimensional linear groups over Laurent polynomial rings and Gaussian domains, Isomorphisms of the linear groups \(\operatorname{GL}_{2}(R)\) over associative rings \(R\), Harmonic maps and von Staudt's theorem over rings, Projective Modules Over Rings with Many Units, Linear groups, Endomorphism rings of modules and lattices of submodules, Homomorphisms of two-dimensional linear groups over a ring of stable range one., Homomorphisms of linear groups over rings, Projectivities over rings with many units

Cites Work

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• Automorphisms of Two-Dimensional Linear Groups over Euclidean Domains