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arXiv · 2502.13726

Subgroup Conjugacy Separability in Residually Free Groups

S. C. Chagas·I. Kazachkov
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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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S. C. Chagas, I. Kazachkov. 2025-02-19. Subgroup Conjugacy Separability in Residually Free Groups. https://arxiv.org/abs/2502.13726

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