{
  "id": "math/0502092",
  "version": "v5",
  "published": "2005-02-04T20:20:47.000Z",
  "updated": "2009-02-27T16:32:21.000Z",
  "title": "Classifying spectra of saturated fusion systems",
  "authors": [
    "Kari Ragnarsson"
  ],
  "comment": "This is the version published by Algebraic & Geometric Topology on 26 February 2006",
  "journal": "Algebr. Geom. Topol. 6 (2006) 195-252",
  "doi": "10.2140/agt.2006.6.195",
  "categories": [
    "math.AT",
    "math.GR"
  ],
  "abstract": "The assignment of classifying spectra to saturated fusion systems was suggested by Linckelmann and Webb and has been carried out by Broto, Levi and Oliver. A more rigid (but equivalent) construction of the classifying spectra is given in this paper. It is shown that the assignment is functorial for fusion-preserving homomorphisms in a way which extends the assignment of stable p-completed classifying spaces to finite groups, and admits a transfer theory analogous to that for finite groups. Furthermore the group of homotopy classes of maps between classifying spectra is described, and in particular it is shown that a fusion system can be reconstructed from its classifying spectrum regarded as an object under the stable classifying space of the underlying p-group.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2009-02-27T16:32:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R35",
      "20D20",
      "55P42"
    ],
    "keywords": [
      "classifying spectrum",
      "saturated fusion systems",
      "finite groups",
      "assignment",
      "transfer theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}