{
  "id": "2101.03817",
  "version": "v1",
  "published": "2021-01-11T11:08:22.000Z",
  "updated": "2021-01-11T11:08:22.000Z",
  "title": "Property FW and wreath products of groups: a simple approach using Schreier graphs",
  "authors": [
    "Paul-Henry Leemann",
    "Grégoire Schneeberger"
  ],
  "comment": "9 pages, 5 figures. Comments are welcome",
  "categories": [
    "math.GR"
  ],
  "abstract": "The group property FW stands in-between the celebrated Kazdhan's property (T) and Serre's property FA. Among many characterizations, it might be defined using the number of ends of Schreier graphs. Using this, we show that a finitely generated wreath product $G\\wr_XH$ has property FW if and only if both $G$ and $H$ have property FW and $X$ is finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-11T11:08:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E22",
      "20F65",
      "05C25"
    ],
    "keywords": [
      "wreath product",
      "schreier graphs",
      "simple approach",
      "group property fw stands in-between",
      "serres property fa"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}