{
  "id": "1412.5357",
  "version": "v1",
  "published": "2014-12-17T12:11:12.000Z",
  "updated": "2014-12-17T12:11:12.000Z",
  "title": "The JSJ-decompositions of one-relator groups with torsion",
  "authors": [
    "Alan D. Logan"
  ],
  "comment": "20 pages, 2 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper we use JSJ-decompositions to formalise a folk conjecture recorded by Pride on the structure of one-relator groups with torsion. We prove a slightly weaker version of the conjecture, which implies that the structure of one-relator groups with torsion closely resemble the structure of torsion-free hyperbolic groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-17T12:11:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E99",
      "20F65",
      "20F67"
    ],
    "keywords": [
      "one-relator groups",
      "jsj-decompositions",
      "torsion-free hyperbolic groups",
      "slightly weaker version",
      "folk conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.5357L"
    }
  }
}