Subgroup Conjugacy Separability in Residually Free Groups

Abstract

We prove that finitely presented residually free groups are subgroup conjugacy separable. Furthermore, if they are of type $F{P}_{\infty }$, then they are also subgroup conjugacy distinguished. Using a connection between conjugacy separability and residual finiteness of outer automorphism group established by Grossman in \cite{Grossman}, we show that finitely presented residually free groups have residually finite outer automorphism groups.