{
  "id": "1907.10353",
  "version": "v1",
  "published": "2019-07-24T10:37:26.000Z",
  "updated": "2019-07-24T10:37:26.000Z",
  "title": "Bounds on the number of simple modules in blocks of finite groups of Lie type",
  "authors": [
    "Ruwen Hollenbach"
  ],
  "comment": "19 pages",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "Let $G$ be a simple, simply connected linear algebraic group of exceptional type defined over $\\mathbb{F}_q$ with Frobenius endomorphism $F: G \\to G$. In this work we give upper bounds on the number of simple modules in the quasi-isolated $\\ell$-blocks of $G^F$ and $G^F/Z(G^F)$ when $\\ell$ is bad for $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-24T10:37:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "20C33"
    ],
    "keywords": [
      "simple modules",
      "finite groups",
      "lie type",
      "simply connected linear algebraic group",
      "exceptional type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}