{
  "id": "math/0412520",
  "version": "v2",
  "published": "2004-12-29T03:28:40.000Z",
  "updated": "2005-08-26T01:46:52.000Z",
  "title": "Algebraic invariants for right-angled Artin groups",
  "authors": [
    "Stefan Papadima",
    "Alexander I. Suciu"
  ],
  "comment": "20 pages; accepted for publication by Math. Annalen",
  "journal": "Mathematische Annalen 334 (2006), no. 3, 533-555",
  "doi": "10.1007/s00208-005-0704-9",
  "categories": [
    "math.GR",
    "math.AC"
  ],
  "abstract": "A finite simplicial graph \\Gamma determines a right-angled Artin group G_\\Gamma, with generators corresponding to the vertices of \\Gamma, and with a relation vw=wv for each pair of adjacent vertices. We compute the lower central series quotients, the Chen quotients, and the (first) resonance variety of G_\\Gamma, directly from the graph \\Gamma.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-08-26T01:46:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F36",
      "13F55",
      "20F14",
      "55P62",
      "57M07"
    ],
    "keywords": [
      "right-angled artin group",
      "algebraic invariants",
      "lower central series quotients",
      "finite simplicial graph",
      "adjacent vertices"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12520P"
    }
  }
}