{
  "id": "2105.04029",
  "version": "v1",
  "published": "2021-05-09T21:31:11.000Z",
  "updated": "2021-05-09T21:31:11.000Z",
  "title": "Right-angled Coxeter groups with totally connected Morse boundaries",
  "authors": [
    "Annette Karrer"
  ],
  "comment": "34 pages, 19 figures",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "This paper introduces a new class of right-angled Coxeter groups with totally disconnected Morse boundaries. We construct this class recursively by examining how the Morse boundary of a right-angled Coxeter group changes when we glue a graph to its defining graph. More generally, we present a method to construct amalgamated free products of CAT(0) groups with totally disconnected Morse boundaries that act geometrically on CAT(0) spaces that have a treelike block decomposition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-09T21:31:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F55"
    ],
    "keywords": [
      "morse boundary",
      "totally connected morse boundaries",
      "totally disconnected morse boundaries",
      "right-angled coxeter group changes",
      "construct amalgamated free products"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}