{
  "id": "2001.08238",
  "version": "v1",
  "published": "2020-01-22T19:17:09.000Z",
  "updated": "2020-01-22T19:17:09.000Z",
  "title": "A note on the Hurwitz action in complex reflection groups",
  "authors": [
    "Joel Brewster Lewis"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "We show that the Hurwitz action is \"as transitive as possible\" on reflection factorizations of Coxeter elements in the well-generated complex reflection groups $G(d, 1, n)$ (the group of $d$-colored permutations) and $G(d, d, n)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-22T19:17:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hurwitz action",
      "well-generated complex reflection groups",
      "coxeter elements",
      "reflection factorizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}