{
  "id": "1801.02105",
  "version": "v1",
  "published": "2018-01-07T00:19:07.000Z",
  "updated": "2018-01-07T00:19:07.000Z",
  "title": "Twisted conjugacy and quasi-isometric rigidity of irreducible lattices in semisimple Lie groups",
  "authors": [
    "T. Mubeena",
    "P. Sankaran"
  ],
  "comment": "8 pages, no diagrams",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $G$ be a non-compact semisimple Lie group with finite centre and finitely many components. We show that any finitely generated group $\\Gamma$ which is quasi-isometric to an irreducible lattice in $G$ has the $R_\\infty$-property, namely, that there are infinitely $\\phi$-twisted conjugacy classes for every automorphism $\\phi$ of $\\Gamma$. Also, we show that any lattice in $G$ has the $R_\\infty$-property, extending our earlier result for irreducible lattices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-07T00:19:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E45",
      "22E40",
      "20E36"
    ],
    "keywords": [
      "irreducible lattice",
      "quasi-isometric rigidity",
      "non-compact semisimple lie group",
      "finite centre",
      "twisted conjugacy classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}