{
  "id": "1403.2775",
  "version": "v1",
  "published": "2014-03-11T22:56:21.000Z",
  "updated": "2014-03-11T22:56:21.000Z",
  "title": "All even permutations with large support are commutators of generating pairs",
  "authors": [
    "David Zmiaikou"
  ],
  "comment": "8 pages, 2 tables",
  "categories": [
    "math.GR"
  ],
  "abstract": "We establish that any even permutation from A_n moving at least [3n/4] + o(n) points is the commutator of a generating pair of A_n and a generating pair of S_n. From this we deduce an exponential lower bound on the number of systems of transitivity in alternating and symmetric groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-11T22:56:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generating pair",
      "large support",
      "permutation",
      "commutator",
      "exponential lower bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.2775Z"
    }
  }
}