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Some homomorphisms of general and special linear groups

Published online by Cambridge University Press:  14 November 2011

A. W. Mason
A. W. Mason
Affiliation:
Department of Mathematics, The University, Glasgow G12 8QW, U.K.
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Synopsis

A ring epimorphism θ:A →B extends in a natural way to a homomorphism γn: GLn(A)→GLn(B) and, when A is commutative, to a homomorphism σn:SLn(A)→SLn(B), where n ≧ 1. In this paper we consider the question: when are γn and σn surjective (or non-surjective)?

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 103 , Issue 3-4 , 1986 , pp. 287 - 291
Copyright
Copyright © Royal Society of Edinburgh 1986

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