{
  "id": "1311.6855",
  "version": "v3",
  "published": "2013-11-27T01:45:16.000Z",
  "updated": "2015-09-01T05:07:51.000Z",
  "title": "Lone Axes in Outer Space",
  "authors": [
    "Lee Mosher",
    "Catherine Pfaff"
  ],
  "comment": "Significant revisions for the sake of readability, several arguments filled in",
  "categories": [
    "math.GR"
  ],
  "abstract": "Handel and Mosher define the axis bundle for a fully irreducible outer automorphism in \"Axes in Outer Space.\" In this paper we give a necessary and sufficient condition for the axis bundle to consist of a unique periodic fold line. As a consequence, we give a setting, and means for identifying in this setting, when two elements of an outer automorphism group $Out(F_r)$ have conjugate powers.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-02T16:57:13.000Z",
      "abstract": "Handel and Mosher define the axis bundle for a fully irreducible outer automorphism in \"Axes in Outer Space.\" In this paper we give a necessary and sufficient condition for the axis bundle to consist of a unique (geodesic) axis. As a consequence, we give a setting, and means for identifying in this setting, when two elements of an outer automorphism group $Out(F_r)$ are conjugate.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-09-01T05:07:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65"
    ],
    "keywords": [
      "outer space",
      "lone axes",
      "unique periodic fold line",
      "axis bundle",
      "outer automorphism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.6855M"
    }
  }
}