{
  "id": "1304.7099",
  "version": "v1",
  "published": "2013-04-26T09:04:28.000Z",
  "updated": "2013-04-26T09:04:28.000Z",
  "title": "Simple groups and the number of countable models",
  "authors": [
    "Predrag Tanović"
  ],
  "comment": "Submitted to Achive for Mathematical Logic",
  "journal": "Archive for Mathematical Logic vol 52 (2013) pp.779-791",
  "doi": "10.1007/s00153-013-0343-x",
  "categories": [
    "math.LO"
  ],
  "abstract": "Let $T$ be a complete, superstable theory with fewer than $2^{\\aleph_{0}}$ countable models. Assuming that generic types of infinite, simple groups definable in $T^{eq}$ are sufficiently non-isolated we prove that $\\omega^{\\omega}$ is the strict upper bound for the Lascar rank of $T$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-26T09:04:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45"
    ],
    "keywords": [
      "countable models",
      "strict upper bound",
      "generic types",
      "lascar rank",
      "simple groups definable"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.7099T"
    }
  }
}