{
  "id": "1303.2324",
  "version": "v3",
  "published": "2013-03-10T13:56:30.000Z",
  "updated": "2015-11-20T13:41:35.000Z",
  "title": "Exterior degree of infinite groups",
  "authors": [
    "Rashid Rezaei",
    "Francesco G. Russo"
  ],
  "comment": "The main ideas have been enriched. A first contribution deals with topological aspects, is entitled \"On the topology of the nonabelian tensor product of profinite groups'' and is accepted in Bull.Korean Math.Soc. A second contribution deals with measure theory, is entitled \"Commuting elements with respect to the operator $\\wedge$ in infinite groups'' and is accepted in the same journal",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "The exterior degree of a finite group has been introduced in [P. Niroomand and R. Rezaei, On the exterior degree of finite groups, Comm. Algebra 39 (2011), 335--343] and the present paper is devoted to study the exterior degree of infinite groups. We find some inequalities of combinatorial nature, which generalize those of the finite case and allow us to get structural restrictions for the whole group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-06T14:01:09.000Z",
      "comment": "10 pages ; Small revisions ; Notes of seminars on the topic",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-11-20T13:41:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20J99",
      "20E10",
      "20P05",
      "20J05",
      "20J06"
    ],
    "keywords": [
      "exterior degree",
      "infinite groups",
      "combinatorial nature",
      "finite case",
      "structural restrictions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.2324R"
    }
  }
}