{
  "id": "1302.2455",
  "version": "v1",
  "published": "2013-02-11T11:33:10.000Z",
  "updated": "2013-02-11T11:33:10.000Z",
  "title": "Rational Subsets and Submonoids of Wreath Products",
  "authors": [
    "Markus Lohrey",
    "Benjamin Steinberg",
    "Georg Zetzsche"
  ],
  "categories": [
    "math.GR",
    "cs.FL"
  ],
  "abstract": "It is shown that membership in rational subsets of wreath products H \\wr V with H a finite group and V a virtually free group is decidable. On the other hand, it is shown that there exists a fixed finitely generated submonoid in the wreath product Z \\wr Z with an undecidable membership problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-11T11:33:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F10",
      "20E22",
      "68Q45"
    ],
    "keywords": [
      "wreath product",
      "rational subsets",
      "undecidable membership problem",
      "virtually free group",
      "finite group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.2455L"
    }
  }
}