{
  "id": "1902.04370",
  "version": "v1",
  "published": "2019-02-12T13:08:27.000Z",
  "updated": "2019-02-12T13:08:27.000Z",
  "title": "On property (T) for automorphism groups of graph products",
  "authors": [
    "Nils Leder",
    "Olga Varghese"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We show that the automorphism group of a graph product of finite groups $Aut(G_\\Gamma)$ has Kazhdan's property (T) if and only if $\\Gamma$ is a complete graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-12T13:08:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "automorphism group",
      "graph product",
      "finite groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}