{
  "id": "1603.06902",
  "version": "v1",
  "published": "2016-03-22T18:45:05.000Z",
  "updated": "2016-03-22T18:45:05.000Z",
  "title": "Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups",
  "authors": [
    "Taras Panov",
    "Yakov Veryovkin"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "We construct and study polyhedral product models for classifying spaces of right-angled Artin and Coxeter groups, general graph product groups and their commutator subgroups. By way of application, we give a criterion of freeness for the commutator subgroup of a graph product group, and provide an explicit minimal set of generators for the commutator subgroup of a right-angled Coxeter group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-22T18:45:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "commutator subgroup",
      "right-angled artin",
      "study polyhedral product models",
      "general graph product groups",
      "explicit minimal set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160306902P"
    }
  }
}