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Subgroup Conjugacy Separability in Residually Free Groups (2502.13726v1)
Published 19 Feb 2025 in math.GR
Abstract: We prove that finitely presented residually free groups are subgroup conjugacy separable. Furthermore, if they are of type $FP_\infty$, 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.
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