{
  "id": "math/0609788",
  "version": "v1",
  "published": "2006-09-28T13:19:03.000Z",
  "updated": "2006-09-28T13:19:03.000Z",
  "title": "Wreath Products of Permutation Classes",
  "authors": [
    "Robert Brignall"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "A permutation class which is closed under pattern involvement may be described in terms of its basis. The wreath product construction X \\wr Y of two permutation classes X and Y is also closed, and we investigate classes Y with the property that, for any finitely based class X, the wreath product X \\wr Y is also finitely based.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-28T13:19:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05"
    ],
    "keywords": [
      "permutation classes",
      "wreath product construction",
      "pattern involvement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9788B"
    }
  }
}