Subgroup Conjugacy Separability in Residually Free Groups
Group Theory
2025-02-20 v1
Abstract
We prove that finitely presented residually free groups are subgroup conjugacy separable. Furthermore, if they are of type , 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.
Cite
@article{arxiv.2502.13726,
title = {Subgroup Conjugacy Separability in Residually Free Groups},
author = {S. C. Chagas and I. Kazachkov},
journal= {arXiv preprint arXiv:2502.13726},
year = {2025}
}