{
  "id": "2405.19940",
  "version": "v1",
  "published": "2024-05-30T10:59:29.000Z",
  "updated": "2024-05-30T10:59:29.000Z",
  "title": "Quotients of permutation groups by nonabelian minimal normal subgroups",
  "authors": [
    "Derek Holt"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that a quotient G/N of a subgroup G of Sym(n) by a nonabelian minimal normal subgroup N of G embeds into Sym(m) for some $m<n$. Furthermore, if G is transitive then we can take m \\le 2n/5.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-30T10:59:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B05",
      "20B35"
    ],
    "keywords": [
      "nonabelian minimal normal subgroup",
      "permutation groups",
      "quotient g/n"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}