{
  "id": "2205.03919",
  "version": "v1",
  "published": "2022-05-08T17:32:04.000Z",
  "updated": "2022-05-08T17:32:04.000Z",
  "title": "Klein-Maskit combination theorem for Anosov subgroups: Free products",
  "authors": [
    "Subhadip Dey",
    "Michael Kapovich"
  ],
  "comment": "24 pages",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove a generalization of the classical Klein-Maskit combination theorem, in the free product case, in the setting of Anosov subgroups. Namely, if $\\Gamma_A$ and $\\Gamma_B$ are Anosov subgroups of a semisimple Lie group $G$ of noncompact type, then under suitable topological assumptions, the group generated by $\\Gamma_A$ and $\\Gamma_B$ in $G$ is again Anosov, and is naturally isomorphic to the free product $\\Gamma_A*\\Gamma_B$. Such a generalization was conjectured in our previous article with Bernhard Leeb (arXiv:1805.07374).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-08T17:32:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E40",
      "20F65",
      "53C35",
      "14M15"
    ],
    "keywords": [
      "anosov subgroups",
      "classical klein-maskit combination theorem",
      "free product case",
      "semisimple lie group",
      "generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}