{
  "id": "1801.08374",
  "version": "v1",
  "published": "2018-01-25T12:25:17.000Z",
  "updated": "2018-01-25T12:25:17.000Z",
  "title": "Maximal subgroups of ${}^2E_6(2)$ and its automorphism groups",
  "authors": [
    "Robert A. Wilson"
  ],
  "comment": "44 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We give a new computer-assisted proof of the classification of maximal subgroups of the simple group ${}^2E_6(2)$ and its extensions by any subgroup of the outer automorphism group $S_3$. This is not a new result, but no earlier proof exists in the literature. A large part of the proof consists of a computational analysis of subgroups generated by an element of order 2 and an element of order 3. This method can be effectively automated, and via statistical analysis also provides a sanity check on results that may have been obtained by delicate theoretical arguments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-25T12:25:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D06"
    ],
    "keywords": [
      "maximal subgroups",
      "outer automorphism group",
      "simple group",
      "delicate theoretical arguments",
      "large part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}