{
  "id": "1403.4708",
  "version": "v1",
  "published": "2014-03-19T06:57:28.000Z",
  "updated": "2014-03-19T06:57:28.000Z",
  "title": "On the inductive Alperin-McKay condition for simple groups of type A",
  "authors": [
    "Marc Cabanes",
    "Britta Spaeth"
  ],
  "comment": "16 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "As a sequel to [CS13b], we verify the so-called inductive AM-condition introduced in [Sp12] for simple groups of type A and blocks with maximal defect. This is part of the program set up to verify the Alperin-McKay conjecture through its reduction to a problem on quasi-simple groups (see [Sp13]) but also the missing direction of Brauer's height zero conjecture (see [NS14])",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-19T06:57:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "20C20",
      "20C33",
      "20G40"
    ],
    "keywords": [
      "inductive alperin-mckay condition",
      "brauers height zero conjecture",
      "program set",
      "quasi-simple groups",
      "maximal defect"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.4708C"
    }
  }
}