{
  "id": "1401.2373",
  "version": "v3",
  "published": "2014-01-10T15:27:18.000Z",
  "updated": "2014-11-25T16:24:53.000Z",
  "title": "Groups of Morley rank 4",
  "authors": [
    "Joshua Wiscons"
  ],
  "comment": "v3: improvement to the efficiency and clarity of section 4 and other minor changes",
  "categories": [
    "math.LO",
    "math.GR"
  ],
  "abstract": "We show that any simple group of Morley rank 4 must be a bad group with no proper definable subgroups of rank larger than 1. We also give an application to groups acting on sets of Morley rank 2.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-11T16:26:37.000Z",
      "comment": "v2: In the updated version, Corollary B, as well as some of the papers supporting results, have been slightly improved",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-11-25T16:24:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "20B22"
    ],
    "keywords": [
      "morley rank",
      "simple group",
      "bad group",
      "proper definable subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.2373W"
    }
  }
}