{
  "id": "math/0303217",
  "version": "v2",
  "published": "2003-03-18T11:36:39.000Z",
  "updated": "2004-07-03T19:57:52.000Z",
  "title": "Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups",
  "authors": [
    "John Crisp",
    "Bert Wiest"
  ],
  "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-22.abs.html",
  "journal": "Algebr. Geom. Topol. 4 (2004) 439-472",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove by explicit construction that graph braid groups and most surface groups can be embedded in a natural way in right-angled Artin groups, and we point out some consequences of these embedding results. We also show that every right-angled Artin group can be embedded in a pure surface braid group. On the other hand, by generalising to right-angled Artin groups a result of Lyndon for free groups, we show that the Euler characteristic -1 surface group (given by the relation x^2y^2=z^2) never embeds in a right-angled Artin group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-07-03T19:57:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "05C25",
      "05C25"
    ],
    "keywords": [
      "right-angled artin group",
      "surface group",
      "pure surface braid group",
      "graph braid groups",
      "explicit construction"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}