{
  "id": "2009.04164",
  "version": "v1",
  "published": "2020-09-09T08:46:05.000Z",
  "updated": "2020-09-09T08:46:05.000Z",
  "title": "CAT(0) cube complexes with flat hyperplanes",
  "authors": [
    "Anthony Genevois"
  ],
  "comment": "8 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this short note, we show that a group acting geometrically on a CAT(0) cube complex with virtually abelian hyperplane-stabilisers must decompose virtually as a free product of free abelian groups and surface groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-09T08:46:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F67"
    ],
    "keywords": [
      "cube complex",
      "flat hyperplanes",
      "free abelian groups",
      "short note",
      "surface groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}