{
  "id": "2302.03346",
  "version": "v1",
  "published": "2023-02-07T09:40:32.000Z",
  "updated": "2023-02-07T09:40:32.000Z",
  "title": "Coherence for elementary amenable groups",
  "authors": [
    "Sam Hughes",
    "Dawid Kielak",
    "Peter H. Kropholler",
    "Ian J. Leary"
  ],
  "comment": "10 pages, comments welcome!",
  "categories": [
    "math.GR",
    "math.RA"
  ],
  "abstract": "We prove that for an elementary amenable group, coherence of the group, homological coherence of the group, and coherence of the integral group ring are all equivalent. This generalises a result of Bieri and Strebel for finitely generated soluble groups",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-07T09:40:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F19",
      "16P70",
      "20J05",
      "20J06",
      "43A07"
    ],
    "keywords": [
      "elementary amenable group",
      "equivalent",
      "generalises",
      "finitely generated soluble groups",
      "homological coherence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}