{
  "id": "1804.03716",
  "version": "v1",
  "published": "2018-04-10T20:51:13.000Z",
  "updated": "2018-04-10T20:51:13.000Z",
  "title": "On the virtually-cyclic dimension of surface braid groups and right-angled Artin groups",
  "authors": [
    "Alejandra Trujillo-Negrete"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We give a bound for the virtually cyclic dimension of groups with a normal subgroup of finite index which satisfies that every infinite virtually-cyclic subgroup is contained in a unique maximal such subgroup. As an application we provide a bound for the virtually-cyclic dimension for the braid group of a closed surface with genus greater than 2 and for right-angled Artin groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-10T20:51:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R35",
      "20F65"
    ],
    "keywords": [
      "right-angled artin groups",
      "surface braid groups",
      "virtually-cyclic dimension",
      "infinite virtually-cyclic subgroup",
      "normal subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}