{
  "id": "2410.23088",
  "version": "v1",
  "published": "2024-10-30T15:04:08.000Z",
  "updated": "2024-10-30T15:04:08.000Z",
  "title": "Thompson's group T has quadratic Dehn function",
  "authors": [
    "Matteo Migliorini"
  ],
  "comment": "14 pages, 2 figures. Comments welcome!",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that Thompson's group $T$ and, more generally, all the Higman-Thompson groups $T_n$ have quadratic Dehn function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-30T15:04:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F05",
      "20F69"
    ],
    "keywords": [
      "quadratic dehn function",
      "thompsons group",
      "higman-thompson groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}