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Conjugacy separability of certain Fuchsian groups

Conjugacy separability of certain Fuchsian groups

Let $G$ be a group. An element $g$ is c.d. in $G$ if and only if given any element $h$ of $G$, either it is conjugate to $h$ or there is a homomorphism $\xi$ from $G$ onto a finite group such that $\xi (g)$ is not conjugate to $\xi (h)$. …