{
  "id": "0711.4210",
  "version": "v2",
  "published": "2007-11-27T09:59:07.000Z",
  "updated": "2008-11-28T18:58:57.000Z",
  "title": "Signalizers and balance in groups of finite Morley rank",
  "authors": [
    "Jeffrey Burdges"
  ],
  "categories": [
    "math.LO",
    "math.GR"
  ],
  "abstract": "We show that a minimal counter example to the Cherlin-Zilber Algebraicity Conjecture for simple groups of finite Morley rank has Prufer 2-rank at most two. This article covers the signalizer functor theory and identifies the groups of Lie rank at least three; leaving the uniqueness case analysis to previous articles. This result signifies the end of the general methods used to handle large groups; hereafter each individual group PSL$_2$, PSL$_3$, PSp$_4$, and G$_2$ will require its own identification theorem.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-28T18:58:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "20G99"
    ],
    "keywords": [
      "finite morley rank",
      "handle large groups",
      "cherlin-zilber algebraicity conjecture",
      "uniqueness case analysis",
      "signalizer functor theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.4210B"
    }
  }
}