Subgroup Conjugacy Separability in Residually Free Groups

2025/02/19 by Chagas, S. C., Kazachkov, I.
#20E18 #20E26 #20F67 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2502.13726

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 \citeGrossman, we show that finitely presented residually free groups have residually finite outer automorphism groups.

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