Subgroup conjugacy separability in residually free groups
In this paper, we prove that finitely presented residually free groups are subgroup conjugacy separable. Furthermore, if they are of type [Formula: see text], then they are also subgroup conjugacy distinguished. By using a connection between conjugacy separability and residual finiteness of outer automorphism group established by Grossman in [11], we show that finitely presented residually free groups have residually finite outer automorphism groups.
Authors
- S. C. Chagas
- Іvan V. Kazachkov (ORCID: https://orcid.org/0000-0001-9645-563X)
Institutions
- Ikerbasque (ES)
- Universidade de Brasília (BR)
Publication Details
- Journal
- International Journal of Algebra and Computation
- Published
- 2026-06-17
- DOI
- https://doi.org/10.1142/s0218196726500396
- Primary Topic
- Geometric and Algebraic Topology
- Type
- preprint
- Field-Weighted Citation Impact
- 0.00