{
  "id": "1705.01344",
  "version": "v1",
  "published": "2017-05-03T10:18:31.000Z",
  "updated": "2017-05-03T10:18:31.000Z",
  "title": "Cherlin's conjecture for almost simple groups of Lie rank 1",
  "authors": [
    "Nick Gill",
    "Francis Hunt",
    "Pablo Spiga"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove Cherlin's conjecture, concerning binary primitive permutation groups, for those groups with socle isomorphic to $\\mathrm{PSL}_2(q)$, ${^2\\mathrm{B}_2}(q)$, ${^2\\mathrm{G}_2}(q)$ or $\\mathrm{PSU}_3(q)$. Our method uses the notion of a \"strongly non-binary action\".",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-03T10:18:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B15",
      "20D06",
      "03C13"
    ],
    "keywords": [
      "cherlins conjecture",
      "simple groups",
      "lie rank",
      "concerning binary primitive permutation groups",
      "socle isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}