{
  "id": "1510.08251",
  "version": "v1",
  "published": "2015-10-28T10:37:09.000Z",
  "updated": "2015-10-28T10:37:09.000Z",
  "title": "A finiteness condition on centralizers in locally nilpotent groups",
  "authors": [
    "Gustavo A. Fernandez-Alcober",
    "Leire Legarreta",
    "Antonio Tortora",
    "Maria Tota"
  ],
  "comment": "10 pages, submitted to an international journal. arXiv admin note: substantial text overlap with arXiv:1412.7330",
  "categories": [
    "math.GR"
  ],
  "abstract": "We give a detailed description of infinite locally nilpotent groups G such that the index |C_G (x) : <x>| is finite, for every non-normal cyclic subgroup <x> of G. We are also able to extend our analysis to all non-periodic groups satisfying a variation of our condition, where the requirement of finiteness is replaced with a bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-28T10:37:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finiteness condition",
      "centralizers",
      "infinite locally nilpotent groups",
      "non-normal cyclic subgroup",
      "non-periodic groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151008251F"
    }
  }
}