{
  "id": "1109.1722",
  "version": "v2",
  "published": "2011-09-08T14:02:05.000Z",
  "updated": "2015-06-11T20:56:27.000Z",
  "title": "The lower central series of a right-angled Artin group",
  "authors": [
    "Richard D. Wade"
  ],
  "comment": "22 pages, 1 figure. Final arXiv version. To appear in Ens. Math",
  "categories": [
    "math.GR"
  ],
  "abstract": "We give a description of Duchamp and Krob's extension of Magnus' approach to the lower central series of the free group to right-angled Artin groups. We also describe how Lalonde's extension of Lyndon words to the partially-commutative settings gives a simple algorithm to find a basis for consecutive quotients of the lower central series of a RAAG.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-08T14:02:05.000Z",
      "comment": "22 pages, 1 figure",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-06-11T20:56:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "20F14"
    ],
    "keywords": [
      "lower central series",
      "right-angled artin group",
      "krobs extension",
      "free group",
      "lalondes extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.1722W"
    }
  }
}