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Isomorphisms of the linear groups GL2(R) over associative rings R

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Abstract Isomorphisms of the linear groups GL 2 ( R ) over associative rings R with 1/2 and 1/3 are considered. In particular, we give a full description of automorphisms… Click to show full abstract

Abstract Isomorphisms of the linear groups GL 2 ( R ) over associative rings R with 1/2 and 1/3 are considered. In particular, we give a full description of automorphisms φ : GL 2 ( R ) → GL 2 ( R ) , where R is any commutative associative ring with 1 and 1/2, 3 is non-zero-divisor, and R is generated by invertible elements.

Keywords: associative rings; linear groups; groups gl2; isomorphisms linear; gl2 associative

Journal Title: Journal of Algebra
Year Published: 2017

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