{
  "id": "1404.5559",
  "version": "v4",
  "published": "2014-04-22T17:05:52.000Z",
  "updated": "2015-02-16T19:06:15.000Z",
  "title": "Right-angled Artin subgroups of the $C^{\\infty}$ diffeomorphism group of the real line",
  "authors": [
    "Hyungryul Baik",
    "Sang-hyun Kim",
    "Thomas Koberda"
  ],
  "comment": "Very small changes following a referee report. To appear in Israel J. Math",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We prove that every right-angled Artin group embeds into the $C^{\\infty}$ diffeomorphism group of the real line. As a corollary, we show every limit group, and more generally every countable residually RAAG group, embeds into the $C^{\\infty}$ diffeomorphism group of the real line.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-06-01T21:21:03.000Z",
      "comment": "The main result is weakened due to a gap in the previous version",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2015-02-16T19:06:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffeomorphism group",
      "real line",
      "right-angled artin subgroups",
      "right-angled artin group embeds",
      "limit group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.5559B"
    }
  }
}