{
  "id": "2309.03794",
  "version": "v1",
  "published": "2023-09-07T15:44:37.000Z",
  "updated": "2023-09-07T15:44:37.000Z",
  "title": "Finitely presented kernels of homomorphisms from hyperbolic groups onto free abelian groups",
  "authors": [
    "Robert Kropholler",
    "Claudio Llosa Isenrich"
  ],
  "comment": "15 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "For every $m\\geq 2$ we produce an example of a non-hyperbolic finitely presented subgroup $H < G$ of a hyperbolic group $G$, which is the kernel of a surjective homomorphism $\\phi: G\\to \\mathbb{Z}^m$. The examples we produce are of finiteness type $F_2$ and not $F_3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-07T15:44:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F67",
      "20F65",
      "20J05",
      "20F05",
      "57M07"
    ],
    "keywords": [
      "free abelian groups",
      "hyperbolic group",
      "finiteness type",
      "surjective homomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}