Subgroup conjugacy separability in residually free groups
Abstract
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.
Fields of Study & Subjects
Geometric and Algebraic Topology
Finite Group Theory Research
Publication details
- Journal / source
- International Journal of Algebra and Computation
- Publisher
- World Scientific Pub Co Pte Ltd
- Pages
- 1–15
- Publication date
- 17 June 2026
- Language
- EN