{
  "id": "0910.1727",
  "version": "v2",
  "published": "2009-10-09T12:27:47.000Z",
  "updated": "2009-12-08T16:00:34.000Z",
  "title": "On certain permutation representations of the braid group",
  "authors": [
    "Valentin Vankov Iliev"
  ],
  "comment": "10 pages, modified theorem, corrected typos",
  "categories": [
    "math.GR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper is devoted to the proof of a structural theorem, concerning certain homomorphic images of Artin braid group on $n$ strands in finite symmetric groups. It is shown that any one of these permutation groups is an extension of the symmetric group on $n$ letters by an appropriate abelian group, and in \"half\" of the cases this extension splits.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-08T16:00:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20E22"
    ],
    "keywords": [
      "permutation representations",
      "artin braid group",
      "finite symmetric groups",
      "appropriate abelian group",
      "homomorphic images"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.1727V"
    }
  }
}