{
  "id": "1803.03539",
  "version": "v1",
  "published": "2018-03-08T11:33:54.000Z",
  "updated": "2018-03-08T11:33:54.000Z",
  "title": "Donovan's conjecture and blocks with abelian defect groups",
  "authors": [
    "Charles Eaton",
    "Michael Livesey"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1711.05357",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We give a reduction of Donovan's conjecture for abelian groups to a similar statement for quasisimple groups. Consequently we show that Donovan's conjecture holds for abelian $2$-groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-08T11:33:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20",
      "16D90"
    ],
    "keywords": [
      "abelian defect groups",
      "donovans conjecture holds",
      "abelian groups",
      "similar statement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}