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Detecting conjugacy stability of subgroups in certain classes of groups.
- Source :
-
Journal of Group Theory . Jul2021, Vol. 24 Issue 4, p737-751. 15p. - Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FREE groups
*HYPERBOLIC groups
*PROBLEM solving
Subjects
Details
- Language :
- English
- ISSN :
- 14335883
- Volume :
- 24
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Group Theory
- Publication Type :
- Academic Journal
- Accession number :
- 151175703
- Full Text :
- https://doi.org/10.1515/jgth-2020-0133