{
  "id": "1807.02429",
  "version": "v1",
  "published": "2018-07-06T14:13:30.000Z",
  "updated": "2018-07-06T14:13:30.000Z",
  "title": "Profinite groups in which centralizers are abelian",
  "authors": [
    "Pavel Shumyatsky",
    "Pavel Zalesskii",
    "Theo Zapata"
  ],
  "comment": "20 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "The article deals with profinite groups in which the centralizers are abelian (CA-groups), that is, with profinite commutativity-transitive groups. It is shown that such groups are virtually pronilpotent. More precisely, let G be a profinite CA-group. It is shown that G has a normal open subgroup N which is either abelian or pro-p. Further, a rather detailed information about the finite quotient G/N is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-06T14:13:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "profinite groups",
      "centralizers",
      "normal open subgroup",
      "finite quotient g/n",
      "article deals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}