{
  "id": "1605.02306",
  "version": "v1",
  "published": "2016-05-08T10:43:46.000Z",
  "updated": "2016-05-08T10:43:46.000Z",
  "title": "Conjugation-invariant norms on the commutator subgroup of the infinite braid group",
  "authors": [
    "Mitsuaki Kimura"
  ],
  "comment": "5 pages, 2 figures",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "In this paper, we give a proof of the result of Brandenbursky and K\\c{e}dra which says that the commutator subgroup of the infinite braid group admits stably unbounded norms. Moreover, we observe the norms which we constructed are equivalent to the biinvariant word norm studied by Brandenbursky and K\\c{e}dra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-08T10:43:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "commutator subgroup",
      "conjugation-invariant norms",
      "infinite braid group admits stably",
      "biinvariant word norm",
      "group admits stably unbounded norms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}