{
  "id": "math/0306380",
  "version": "v1",
  "published": "2003-06-26T15:42:04.000Z",
  "updated": "2003-06-26T15:42:04.000Z",
  "title": "A description of auto-fixed subgroups in a free group",
  "authors": [
    "A. Martino",
    "E. Ventura"
  ],
  "comment": "41 pages",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "Let $F$ be a finitely generated free group. By using Bestvina-Handel theory, as well as some further improvements, the eigengroups of a given automorphism of $F$ (and its fixed subgroup among them) are globally analyzed and described. In particular, an explicit description of all subgroups of $F$ which occur as the fixed subgroup of some automorphism is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-06-26T15:42:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E05",
      "20E36"
    ],
    "keywords": [
      "auto-fixed subgroups",
      "bestvina-handel theory",
      "automorphism",
      "finitely generated free group",
      "explicit description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......6380M"
    }
  }
}