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- W2076461049 abstract "Let R be a commutative domain of stable range 1 with 2 a unit. In this paper we describe the homomorphisms between SL 2 ( R ) and GL 2 ( K ) where K is an algebraically closed field. We show that every non-trivial homomorphism can be decomposed uniquely as a product of an inner automorphism and a homomorphism induced by a morphism between R and K . We also describe the homomorphisms between GL 2 ( R ) and GL 2 ( K ) . Those homomorphisms are found of either extensions of homomorphisms from SL 2 ( R ) to GL 2 ( K ) or the products of inner automorphisms with certain group homomorphisms from GL 2 ( R ) to K ." @default.
- W2076461049 created "2016-06-24" @default.
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- W2076461049 date "2006-09-01" @default.
- W2076461049 modified "2023-09-29" @default.
- W2076461049 title "Homomorphisms of two-dimensional linear groups over a ring of stable range one" @default.
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- W2076461049 doi "https://doi.org/10.1016/j.jalgebra.2006.06.031" @default.
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