{
  "id": "1908.08826",
  "version": "v1",
  "published": "2019-08-23T13:52:58.000Z",
  "updated": "2019-08-23T13:52:58.000Z",
  "title": "Groups of cohomological codimension one",
  "authors": [
    "Alexander Margolis"
  ],
  "comment": "25 pages, comments welcome",
  "categories": [
    "math.GR"
  ],
  "abstract": "We show that if $H$ is an almost normal subgroup of $G$ such that both $H$ and $G$ are of type $VFP$ and vcd($G$) = vcd($H$) + 1, then $G$ is the fundamental group of a graph of groups in which all vertex and edge groups are commensurable to $H$. We also investigate almost normal subgroups of one-relator groups and duality groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-23T13:52:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20J05",
      "20E06",
      "20E08",
      "20J05",
      "20J06",
      "20F65"
    ],
    "keywords": [
      "cohomological codimension",
      "normal subgroup",
      "fundamental group",
      "one-relator groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}