{
  "id": "1206.2962",
  "version": "v3",
  "published": "2012-06-13T22:56:57.000Z",
  "updated": "2014-01-23T13:04:55.000Z",
  "title": "Fusion systems on bicyclic 2-groups",
  "authors": [
    "Benjamin Sambale"
  ],
  "comment": "22 pages, shorted and some arguments replaced",
  "categories": [
    "math.GR",
    "math.RT"
  ],
  "abstract": "We classify all (saturated) fusion systems on bicyclic 2-groups. Here, a bicyclic group is a product of two cyclic subgroups. This extends previous work on fusion systems on metacyclic 2-groups (see [Craven-Glesser, 2012] and [Sambale, 2012]). As an application we prove Olsson's Conjecture for all blocks with bicyclic defect groups.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-23T13:04:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fusion systems",
      "bicyclic defect groups",
      "cyclic subgroups",
      "olssons conjecture",
      "bicyclic group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.2962S"
    }
  }
}