{
  "id": "2502.03180",
  "version": "v1",
  "published": "2025-02-05T13:55:27.000Z",
  "updated": "2025-02-05T13:55:27.000Z",
  "title": "Dehn functions of subgroups of products of free groups. Part II: Precise computations",
  "authors": [
    "Dario Ascari",
    "Federica Bertolotti",
    "Giovanni Italiano",
    "Claudio Llosa Isenrich",
    "Matteo Migliorini"
  ],
  "comment": "The paper arXiv:2406.19860v1 was split into two parts. This is the second part (Theorem B and E of the original version). The first part is available at arXiv:2406.19860v2. 27 pages, 3 figures",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove that the Bridson-Dison group has quartic Dehn function, thereby providing the first precise computation of the Dehn function of a subgroup of a direct product of free groups with super-quadratic Dehn function. We also prove that coabelian subgroups of direct products of $n$ free groups of finiteness type $\\mathcal{F}_{n-1}$ and of corank $r\\leq n-2$ have quadratic Dehn functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-02-05T13:55:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F05",
      "20F67",
      "20F69",
      "57M07"
    ],
    "keywords": [
      "free groups",
      "direct product",
      "quartic dehn function",
      "super-quadratic dehn function",
      "first precise computation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}