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 FP∞, then they are also subgroup conjugacy distinguished. Using a connection between conjugacy separability and residual finiteness of outer automorphism group established by Grossman in Grossman, we show that finitely presented residually free groups have residually finite outer automorphism groups.
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