{
  "id": "2112.05574",
  "version": "v2",
  "published": "2021-12-10T14:42:44.000Z",
  "updated": "2022-06-24T07:54:41.000Z",
  "title": "Linearity and indiscreteness of amalgamated products of hyperbolic groups",
  "authors": [
    "Nicolas Tholozan",
    "Konstantinos Tsouvalas"
  ],
  "comment": "Minor revisions, improved introduction",
  "categories": [
    "math.GR"
  ],
  "abstract": "We discuss the linearity and discreteness of amalgamated products of linear word-hyperbolic groups. In particular, we prove that the double of an Anosov group along a maximal cyclic subgroup is always linear, and we construct examples of such groups which do not admit any discrete and faithful representation in rank 1. We also build new examples of non-linear word-hyperbolic groups, elaborating on a previous work of Canary--Stover--Tsouvalas.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-06-24T07:54:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "amalgamated products",
      "indiscreteness",
      "non-linear word-hyperbolic groups",
      "maximal cyclic subgroup",
      "anosov group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}