Tree  products of conjugacy separable groups amalgamating along retracts

P.C. WONG AND C.K. TANG

Research Report No. 4/2002

Abstract

A group $G$ is called conjugacy separable if for each pair of elements $x, y\in G$ such that $x$ and $y$ are not conjugate in $G$, there exists a finite homomorphic image $\bar G$ of $G$ such that the images of $x$ and $y$ are not conjugate in $\bar G$. In this note, we give sufficient conditions for tree products of conjugacy separable groups amalgamating along retracts to be again conjugacy separable.