Detecting conjugacy stability of subgroups in certain classes of groups

Isabel Fernández Martínez, Denis Serbin

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider the conjugacy stability property of subgroups and provide effective procedures to solve the problem in several classes of groups. In particular, we start with free groups, that is, we give an effective procedure to find out if a finitely generated subgroup of a free group is conjugacy stable. Then we further generalize this result to quasi-convex subgroups of torsion-free hyperbolic groups and finitely generated subgroups of limit groups.

Original languageEnglish
Pages (from-to)737-751
Number of pages15
JournalJournal of Group Theory
Volume24
Issue number4
DOIs
StatePublished - 1 Jul 2021

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