{
  "id": "2209.14753",
  "version": "v1",
  "published": "2022-09-29T13:07:46.000Z",
  "updated": "2022-09-29T13:07:46.000Z",
  "title": "Profinite groups with few conjugacy classes of elements of infinite order",
  "authors": [
    "John S. Wilson"
  ],
  "comment": "6 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "It is proved that every finitely generated profinite group with fewer than $2^{\\aleph_0}$ conjugacy classes of elements of infinite order is finite",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-29T13:07:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E18",
      "20E45"
    ],
    "keywords": [
      "infinite order",
      "conjugacy classes",
      "finitely generated profinite group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}