{
  "id": "math/0501442",
  "version": "v1",
  "published": "2005-01-25T12:37:41.000Z",
  "updated": "2005-01-25T12:37:41.000Z",
  "title": "Cellularization of classifying spaces and fusion properties of finite groups",
  "authors": [
    "R. J. Flores",
    "J. Scherer"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "One way to understand the mod p homotopy theory of classifying spaces of finite groups is to compute their BZ/p-cellularization. In the easiest cases this is a classifying space of a finite group (always a finite p-group). If not, we show that it has infinitely many non-trivial homotopy groups. Moreover they are either p-torsion free or else infinitely many of them contain p-torsion. By means of techniques related to fusion systems we exhibit concrete examples where p-torsion appears.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-25T12:37:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P60",
      "20D20",
      "55R37",
      "55Q05"
    ],
    "keywords": [
      "finite group",
      "classifying space",
      "fusion properties",
      "cellularization",
      "non-trivial homotopy groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1442F"
    }
  }
}