{
  "id": "2409.09195",
  "version": "v1",
  "published": "2024-09-13T21:10:37.000Z",
  "updated": "2024-09-13T21:10:37.000Z",
  "title": "Finite generation for the group $F\\left(\\frac32\\right)$",
  "authors": [
    "José Burillo",
    "Marc Felipe"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper it is proved that the group $F\\left(\\frac32\\right)$, a Thompson-style group with breaks in $\\mathbb{Z}\\left[\\frac16\\right]$ but whose slopes are restricted only to powers of $\\frac32$, is finitely generated, with a generating set of two elements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-13T21:10:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65"
    ],
    "keywords": [
      "finite generation",
      "thompson-style group",
      "generating set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}