On conjugacy separability of fundamental groups of graphs of groups

Shirvani, M.

doi:10.1090/S0002-9947-1992-1102891-8

On conjugacy separability of fundamental groups of graphs of groups
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Trans. Amer. Math. Soc. 334 (1992), 229-243 Request permission

Abstract:

A complete determination of when the elements of a fundamental group of a (countable) graph of profinite groups are conjugacy distinguished is given. By embedding an arbitrary fundamental group $G$ into one with profinite vertex groups and making use of the above result, questions on conjugacy separability of $G$ can be reduced to the solution of equations in the vertex groups of $G$.

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