{
  "id": "2004.05977",
  "version": "v1",
  "published": "2020-04-13T14:54:39.000Z",
  "updated": "2020-04-13T14:54:39.000Z",
  "title": "On profinite groups in which centralizers have bounded rank",
  "authors": [
    "Pavel Shumyatsky"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "For a positive integer r we prove that if G is a profinite group in which the centralizer of every nontrivial element has rank at most r, then G is either a pro-p group or a group of finite rank. Further, if G is not virtually a pro-p group, then G is virtually of rank at most r+1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-13T14:54:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E18"
    ],
    "keywords": [
      "profinite group",
      "bounded rank",
      "centralizer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}