{
  "id": "1311.4222",
  "version": "v2",
  "published": "2013-11-17T21:45:30.000Z",
  "updated": "2014-11-24T19:15:11.000Z",
  "title": "The domino problem on groups of polynomial growth",
  "authors": [
    "Alexis Ballier",
    "Maya Stein"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We characterize the virtually nilpotent finitely generated groups (or, equivalently by Gromov's theorem, groups of polynomial growth) for which the Domino Problem is decidable: These are the virtually free groups, i.e. finite groups, and those having $\\Z$ as a subgroup of finite index.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-17T21:45:30.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-24T19:15:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polynomial growth",
      "domino problem",
      "gromovs theorem",
      "virtually nilpotent finitely generated groups",
      "virtually free groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.4222B"
    }
  }
}