{
  "id": "0801.3957",
  "version": "v2",
  "published": "2008-01-25T14:57:34.000Z",
  "updated": "2008-11-07T21:50:41.000Z",
  "title": "A generation theorem for groups of finite Morley rank",
  "authors": [
    "Jeffrey Burdges",
    "Gregory Cherlin"
  ],
  "categories": [
    "math.GR",
    "math.LO"
  ],
  "abstract": "We deal with two forms of the \"uniqueness cases\" in the classification of large simple $K^*$-groups of finite Morley rank of odd type, where large means the $m_2(G)$ at least three. This substantially extends results known for even larger groups having \\Prufer 2-rank at least three, to cover the two groups $\\PSp_4$ and $\\G_2$. With an eye towards distant developments, we carry out this analysis for $L^*$-groups which is substantially broader than the $K^*$ setting.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-07T21:50:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "20G99"
    ],
    "keywords": [
      "finite morley rank",
      "generation theorem",
      "distant developments",
      "larger groups",
      "uniqueness cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.3957B"
    }
  }
}