{
  "id": "1108.5375",
  "version": "v1",
  "published": "2011-08-26T19:24:26.000Z",
  "updated": "2011-08-26T19:24:26.000Z",
  "title": "Commuting categories for blocks and fusion systems",
  "authors": [
    "Adam Glesser",
    "Markus Lickelmann"
  ],
  "comment": "5 pages",
  "categories": [
    "math.RT",
    "math.AT",
    "math.GR"
  ],
  "abstract": "We extend the notion of a commuting poset for a finite group to p-blocks and fusion systems, and we generalize a result, due originally to Alperin and proved independently by Aschbacher and Segev, to commuting graphs of blocks, with a very short proof based on the G-equivariant version, due to Thevenaz and Webb, of a result of Quillen.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-26T19:24:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20",
      "20E15",
      "55P10"
    ],
    "keywords": [
      "fusion systems",
      "commuting categories",
      "g-equivariant version",
      "short proof",
      "finite group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.5375G"
    }
  }
}