{
  "id": "math/0210057",
  "version": "v2",
  "published": "2002-10-04T06:51:16.000Z",
  "updated": "2003-03-04T12:58:22.000Z",
  "title": "Transitive simple subgroups of wreath products in product action",
  "authors": [
    "Cheryl E. Praeger",
    "Robert W. Baddeley",
    "Csaba Schneider"
  ],
  "comment": "Submitted",
  "categories": [
    "math.GR",
    "math.CO"
  ],
  "abstract": "A transitive simple subgroup of a finite symmetric group is very rarely contained in a full wreath product in product action. All such simple permutation groups are determined in this paper. This remarkable conclusion is reached after a definition and detailed examination of `Cartesian decompositions' of the permuted set, relating them to certain `Cartesian systemsof subgroups'. These concepts, and the bijective connections between them, are explored in greater generality, with specific future applications in mind.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-03-04T12:58:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B05",
      "20B15",
      "20B35",
      "20B99"
    ],
    "keywords": [
      "transitive simple subgroup",
      "product action",
      "finite symmetric group",
      "cartesian systemsof subgroups",
      "full wreath product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10057P"
    }
  }
}