Work

Subgroup conjugacy separability in residually free groups

Year: 2026

Type: article

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.

Source: International Journal of Algebra and Computation

DOI: 10.1142/s0218196726500396

Authors: S. C. Chagas, I. Kazachkov

Institutions: Universidade de Brasília, Ikerbasque

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4407765091

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Related to: 10