{
  "id": "2007.07490",
  "version": "v1",
  "published": "2020-07-15T05:39:35.000Z",
  "updated": "2020-07-15T05:39:35.000Z",
  "title": "Detecting conjugacy stability of subgroups in certain classes of groups",
  "authors": [
    "Isabel Fernández Martínez",
    "Denis Serbin"
  ],
  "comment": "11 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper we consider the {\\em 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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-15T05:39:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67",
      "20F10"
    ],
    "keywords": [
      "detecting conjugacy stability",
      "finitely generated subgroup",
      "free group",
      "effective procedure",
      "torsion-free hyperbolic groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}