Conjugacy Separability of Some One-Relator Groups

Abstract

Conjugacy separability of any group of the class of one-relator groups given by the presentation ⟨𝑎,𝑏;[𝑎𝑚,𝑏𝑛]=1⟩(𝑚,𝑛>1) is proven. The proof made used 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.