{
  "id": "2202.00536",
  "version": "v1",
  "published": "2022-02-01T16:26:36.000Z",
  "updated": "2022-02-01T16:26:36.000Z",
  "title": "Hyperbolically embedded subgroups and quasi-isometries of pairs",
  "authors": [
    "Sam Hughes",
    "Eduardo Martínez-Pedroza"
  ],
  "comment": "Version 1",
  "categories": [
    "math.GR"
  ],
  "abstract": "We give technical conditions for a quasi-isometry of pairs to preserve a subgroup being hyperbolically embedded. We consider applications to the quasi-isometry and commensurability invariance of acylindrical hyperbolicity of finitely generated groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-01T16:26:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67"
    ],
    "keywords": [
      "hyperbolically embedded subgroups",
      "quasi-isometry",
      "commensurability invariance",
      "technical conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}