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Conjugacy separability of some one-relator groups. (English) Zbl 1205.20040

Summary: Conjugacy separability of any group of the class of one-relator groups given by the presentation \(\langle a,b;\;[a^m,b^n]=1\rangle\) (\(m,n>1\)) is proven. The proof makes use of theoretical combinatorial group methods, namely the structure of amalgamated free products and some properties of the subgroups and quotients of any group of the class of one-relator groups given above.

MSC:

20E26 Residual properties and generalizations; residually finite groups
20F05 Generators, relations, and presentations of groups
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References:

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