{
  "id": "1405.5352",
  "version": "v1",
  "published": "2014-05-21T10:01:42.000Z",
  "updated": "2014-05-21T10:01:42.000Z",
  "title": "Procyclic coverings of commutators in profinite groups",
  "authors": [
    "Gustavo A. Fernández-Alcober",
    "Marta Morigi",
    "Pavel Shumyatsky"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We consider profinite groups in which all commutators are contained in a union of finitely many procyclic subgroups. It is shown that if G is a profinite group in which all commutators are covered by m procyclic subgroups, then G possesses a finite characteristic subgroup M contained in G' such that the order of M is m-bounded and G'/M is procyclic. If G is a pro-p group such that all commutators in G are covered by m procyclic subgroups, then G' is either finite of m-bounded order or procyclic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-21T10:01:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E18",
      "20F14"
    ],
    "keywords": [
      "profinite group",
      "procyclic coverings",
      "commutators",
      "procyclic subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.5352F"
    }
  }
}