{
  "id": "0909.0830",
  "version": "v1",
  "published": "2009-09-04T07:41:51.000Z",
  "updated": "2009-09-04T07:41:51.000Z",
  "title": "The vertices and sources of the natural simple module for the alternating group in even characteristic",
  "authors": [
    "Susanne Danz",
    "Jürgen Müller"
  ],
  "comment": "23 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "For $n\\geq 5$ the natural permutation module for the alternating group $\\mathfrak{A}_n$ has a unique non-trivial composition factor, being called its natural simple module. We determine the vertices and sources of the natural simple $\\mathfrak{A}_n$-module over fields of characteristic 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-04T07:41:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20",
      "20C30"
    ],
    "keywords": [
      "natural simple module",
      "alternating group",
      "characteristic",
      "unique non-trivial composition factor",
      "natural permutation module"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.0830D"
    }
  }
}