{
  "id": "2305.16149",
  "version": "v1",
  "published": "2023-04-25T00:00:33.000Z",
  "updated": "2023-04-25T00:00:33.000Z",
  "title": "A fibered Tukia theorem for nilpotent Lie groups",
  "authors": [
    "Tullia Dymarz",
    "David Fisher",
    "Xiangdong Xie"
  ],
  "comment": "26 pages",
  "categories": [
    "math.GR",
    "math.CV"
  ],
  "abstract": "We establish a Tukia-type theorem for uniform quasiconformal groups of a Carnot group. More generally we establish a fiber bundle version (or foliated version) of Tukia theorem for uniform quasiconformal groups of a nilpotent Lie group whose Lie algebra admits a diagonalizable derivation with positive eigenvalues. These results have applications to quasi-isometric rigidity of solvable groups [DFX].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-25T00:00:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30L10",
      "22E25",
      "20F65"
    ],
    "keywords": [
      "nilpotent lie group",
      "fibered tukia theorem",
      "uniform quasiconformal groups",
      "fiber bundle version",
      "lie algebra admits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}