{
  "id": "math/0510631",
  "version": "v1",
  "published": "2005-10-28T13:28:59.000Z",
  "updated": "2005-10-28T13:28:59.000Z",
  "title": "Centre, commutativite et conjugaison dans un graphe de groupe",
  "authors": [
    "Jean-Philippe Preaux"
  ],
  "comment": "28 pages, in french",
  "categories": [
    "math.GR"
  ],
  "abstract": "We give characterizations of the center, of conjugated and of commuting elements in a fundamental group of a graph of group. We deduce various results : on the one hand we give a sufficient condition for the center, the centralizers, and the root structures in such a group to be in some sense trivial, and on the other hand we prove that for any group G, the conjugacy problem reduces to the same problem in a double of G along any finite family of subgroups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-28T13:28:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E06",
      "20E08",
      "20E34",
      "20E45",
      "20F10",
      "57M05",
      "57M99"
    ],
    "keywords": [
      "conjugaison dans",
      "commutativite",
      "conjugacy problem reduces",
      "fundamental group",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "fr",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10631P"
    }
  }
}