{
  "id": "1805.03893",
  "version": "v1",
  "published": "2018-05-10T08:56:22.000Z",
  "updated": "2018-05-10T08:56:22.000Z",
  "title": "Subgroup growth of right-angled Artin and Coxeter groups",
  "authors": [
    "Hyungryul Baik",
    "Bram Petri",
    "Jean Raimbault"
  ],
  "comment": "34 pages",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We determine the factorial growth rate of the number of finite index subgroups of right-angled Artin groups as a function of the index. This turns out to depend solely on the independence number of the defining graph. We also make a conjecture for right-angled Coxeter groups and prove that it holds in a limited setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-10T08:56:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "20F36",
      "57M50",
      "20B99"
    ],
    "keywords": [
      "subgroup growth",
      "factorial growth rate",
      "finite index subgroups",
      "right-angled artin groups",
      "right-angled coxeter groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}