{
  "id": "2308.03174",
  "version": "v1",
  "published": "2023-08-06T18:04:19.000Z",
  "updated": "2023-08-06T18:04:19.000Z",
  "title": "Finite simple groups with two maximal subgroups of coprime orders",
  "authors": [
    "N. V. Maslova"
  ],
  "comment": "9 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "In 1962, V.A. Belonogov proved that if a finite group $G$ contains two maximal subgroups of coprime orders, then either $G$ is one of known solvable groups or $G$ is simple. In this short note based on results by M. Liebeck and J. Saxl on odd order maximal subgroups in finite simple groups we determine possibilities for triples $(G,H,M)$, where $G$ is a finite nonabelian simple group, $H$ and $M$ are maximal subgroups of $G$ with $(|H|,|M|)=1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-06T18:04:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D60",
      "20D05"
    ],
    "keywords": [
      "finite simple groups",
      "coprime orders",
      "finite nonabelian simple group",
      "odd order maximal subgroups",
      "determine possibilities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}