Homomorphisms of two-dimensional linear groups over Laurent polynomial rings and Gaussian domains

DOI10.1017/S0305004100069759zbMath0723.20026MaRDI QIDQ3211525

Yu Chen

Publication date: 1991

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

standard homomorphismslinear groupsLaurent polynomial ringcommutative Gaussian domain

Mathematics Subject Classification ID

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

Related Items

Automorphisms of simple Chevalley groups over \(Q\)-algebras, Isomorphisms of Chevalley groups over algebras, Homomorphisms of two-dimensional linear groups over a ring of stable range one.

Cites Work

• On the structure of the \(GL_ 2\) of a ring
• Automorphisms of the Two-Dimensional Generai Linear Group Over a Euclidean Ring
• Homomorphisms of two dimensional linear groups
• Aut(GL₂(R)) for rings with many units
• Automorphisms of the Two-Dimensional Linear Groups Over Integral Domains
• Automorphisms of Two-Dimensional Linear Groups over Euclidean Domains