{
  "id": "1505.08129",
  "version": "v1",
  "published": "2015-05-29T18:03:26.000Z",
  "updated": "2015-05-29T18:03:26.000Z",
  "title": "Recognizing $\\operatorname{PGL}_3$ via generic $4$-transitivity",
  "authors": [
    "Tuna Altınel",
    "Joshua Wiscons"
  ],
  "categories": [
    "math.LO",
    "math.GR"
  ],
  "abstract": "We show that the only transitive and generically $4$-transitive action of a group of finite Morley rank on a set of Morley rank $2$ is the natural action of $\\operatorname{PGL}_3$ on the projective plane.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-29T18:03:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "20B22"
    ],
    "keywords": [
      "transitivity",
      "finite morley rank",
      "recognizing",
      "natural action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}