{
  "id": "math/0502359",
  "version": "v1",
  "published": "2005-02-16T17:47:15.000Z",
  "updated": "2005-02-16T17:47:15.000Z",
  "title": "Extension of p-local finite groups",
  "authors": [
    "Carles Broto",
    "Natalia Castellana",
    "Jesper Grodal",
    "Ran Levi",
    "Bob Oliver"
  ],
  "comment": "66 pages",
  "journal": "Trans. Amer. Math. Soc. 359 (2007), 3791-3858",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "A p-local finite group consists of a finite p-group S, together with a pair of categories which encode ``conjugacy'' relations among subgroups of S, and which are modelled on the fusion in a Sylow p-subgroup of a finite group. It contains enough information to define a classifying space which has many of the same properties as p-completed classifying spaces of finite groups. In this paper, we study and classify extensions of p-local finite groups, and also compute the fundamental group of the classifying space of a p-local finite group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-16T17:47:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R35",
      "55R40",
      "20D20"
    ],
    "keywords": [
      "classifying space",
      "p-local finite group consists",
      "finite p-group",
      "fundamental group",
      "sylow p-subgroup"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 66,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2359B"
    }
  }
}