{
  "id": "0811.1946",
  "version": "v2",
  "published": "2008-11-12T18:02:36.000Z",
  "updated": "2009-01-22T18:50:33.000Z",
  "title": "On right-angled Artin groups without surface subgroups",
  "authors": [
    "Sang-hyun Kim"
  ],
  "comment": "29 pages, 14 figures. Proof of Lemma 3.6 is simplified; several typos are corrected",
  "journal": "Groups Geom. Dyn. 4 (2010), no. 2, 275-307",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We study the class N of graphs, the right-angled Artin groups defined on which do not contain surface subgroups. We prove that a presumably smaller class N' is closed under amalgamating along complete subgraphs, and also under adding bisimplicial edges. It follows that chordal graphs and chordal bipartite graphs belong to N'.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-01-22T18:50:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20F65",
      "05C25"
    ],
    "keywords": [
      "right-angled artin groups",
      "chordal bipartite graphs belong",
      "contain surface subgroups",
      "adding bisimplicial edges",
      "chordal graphs"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.1946K"
    }
  }
}