{
  "id": "2301.10537",
  "version": "v1",
  "published": "2023-01-25T12:02:16.000Z",
  "updated": "2023-01-25T12:02:16.000Z",
  "title": "Finite dimensional algebras not arising as blocks of group algebras",
  "authors": [
    "Dave Benson",
    "Benjamin Sambale"
  ],
  "comment": "17 pages",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We develop new techniques to classify basic algebras of blocks of finite groups over algebraically closed fields of prime characteristic. We apply these techniques to simplify and extend previous classifications by Linckelmann, Murphy and Sambale. In particular, we fully classify blocks with 16-dimensional basic algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-25T12:02:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite dimensional algebras",
      "group algebras",
      "prime characteristic",
      "classify basic algebras",
      "finite groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}