{
  "id": "math/0210405",
  "version": "v1",
  "published": "2002-10-25T16:59:23.000Z",
  "updated": "2002-10-25T16:59:23.000Z",
  "title": "Non-simple localizations of finite simple groups",
  "authors": [
    "José L. Rodríguez",
    "Jérôme Scherer",
    "Antonio Viruel"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "Often a localization functor (in the category of groups) sends a finite simple group to another finite simple group. We study when such a localization also induces a localization between the automorphism groups and between the universal central extensions. As a consequence we exhibit many examples of localizations of finite simple groups which are not simple.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-25T16:59:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite simple group",
      "non-simple localizations",
      "universal central extensions",
      "localization functor",
      "automorphism groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10405R"
    }
  }
}