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.

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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
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preprint

Subgroup conjugacy separability in residually free groups

S. C. Chagas, Іvan V. Kazachkov
International Journal of Algebra and Computation
Geometric and Algebraic Topology
preprint

Subgroup conjugacy separability in residually free groups

S. C. Chagas, Іvan V. Kazachkov
preprint en

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.

International Journal of Algebra and Computation
Ikerbasque (ES), Universidade de Brasília (BR)
Openalex Percentile: Top 95%
Geometric and Algebraic Topology
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