{
  "id": "1703.00988",
  "version": "v1",
  "published": "2017-03-02T23:39:40.000Z",
  "updated": "2017-03-02T23:39:40.000Z",
  "title": "Profinite groups and the fixed points of coprime automorphisms",
  "authors": [
    "Cristina Acciarri",
    "Pavel Shumyatsky"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1702.02899",
  "journal": "J. Algebra, 452 (2016), 188-196",
  "doi": "10.1016/j.jalgebra.2016.01.010",
  "categories": [
    "math.GR"
  ],
  "abstract": "The main result of the paper is the following theorem. Let $q$ be a prime and $A$ an elementary abelian group of order $q^3$. Suppose that $A$ acts coprimely on a profinite group $G$ and assume that $C_G(a)$ is locally nilpotent for each $a\\in A^{\\#}$. Then the group $G$ is locally nilpotent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-02T23:39:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E18",
      "20E25",
      "20F40"
    ],
    "keywords": [
      "profinite group",
      "coprime automorphisms",
      "fixed points",
      "locally nilpotent",
      "elementary abelian group"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}