{
  "id": "2312.15330",
  "version": "v1",
  "published": "2023-12-23T19:31:54.000Z",
  "updated": "2023-12-23T19:31:54.000Z",
  "title": "Isomorphisms and commensurability of surface Houghton groups",
  "authors": [
    "Javier Aramayona",
    "George Domat",
    "Christopher J. Leininger"
  ],
  "comment": "7 pages, 2 figures",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "In this short note we classify surface Houghton groups, as well as their pure subgroups, up to isomorphism and commensurability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-23T19:31:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K20"
    ],
    "keywords": [
      "commensurability",
      "isomorphism",
      "classify surface houghton groups",
      "pure subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}