{
  "id": "math/0407324",
  "version": "v1",
  "published": "2004-07-19T13:49:04.000Z",
  "updated": "2004-07-19T13:49:04.000Z",
  "title": "All p-local finite groups of rank two for odd prime p",
  "authors": [
    "Antonio Diaz",
    "Albert Ruiz",
    "Antonio Viruel"
  ],
  "journal": "Trans. Amer. Math. Soc. 359 (2007), 1725-1764",
  "doi": "10.1090/S0002-9947-06-04367-4",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "In this paper we give a classification of the rank two p-local finite groups for odd p. This study requires the analisis of the possible saturated fusion systems in terms of the outer automorphism group ant the proper F-radical subgroups. Also, for each case in the classification, either we give a finite group with the corresponding fusion system or we check that it corresponds to an exotic p-local finite group, getting some new examples of these for p = 3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-07-19T13:49:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "odd prime",
      "exotic p-local finite group",
      "outer automorphism group ant",
      "saturated fusion systems",
      "proper f-radical subgroups"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......7324D"
    }
  }
}