{
  "id": "2407.07459",
  "version": "v1",
  "published": "2024-07-10T08:21:12.000Z",
  "updated": "2024-07-10T08:21:12.000Z",
  "title": "Retraction to a parabolic subgroup and applications",
  "authors": [
    "François Digne",
    "Eddy Godelle",
    "Jean Michel"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We continue the study of the retraction from an Artin group to a standardparabolic subgroup introduced by Blufstein, Charney, Paris and the secondauthor. Using right and left retractions we obtain new results on minimalparabolic subgroups, intersection of parabolic subgroups, double cosets withrespect to parabolic subgroups and conjugacy classes in Artin groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-10T08:21:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "applications",
      "artin group",
      "conjugacy classes",
      "left retractions",
      "minimalparabolic subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}