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Outer automorphism groups of certain 1-relator groups
Authors:Goansu Kim  C. Y. Tang
Affiliation:1. Department of Mathematics, Yeungnam University, Kyongsan, 712-749, Korea
2. Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
Abstract:
Grossman first showed that outer automorphism groups of 1-relator groups given by orientable surface groups are residually finite, whence mapping class groups of orientable surfaces are residually finite. Allenby, Kim and Tang showed that outer automorphism groups of cyclically pinched 1-relator groups are residually finite, whence mapping class groups of orientable and non-orientable surfaces are residually finite. In this paper we show that outer automorphism groups of certain conjugacy separable 1-relator groups are residually finite.
Keywords:
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