{
  "id": "2309.04569",
  "version": "v1",
  "published": "2023-09-08T20:00:57.000Z",
  "updated": "2023-09-08T20:00:57.000Z",
  "title": "Dynamics of iwip automorphisms of free products",
  "authors": [
    "Ioannis Papavasileiou",
    "Dionysios Syrigos"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:math/9712217 by other authors",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $G$ be a free product and $\\mathrm{Out}(G)$ the outer automorphism group of $G$. In this article using the theory of laminations we give a criterion for a subgroup $H$ of $\\mathrm{Out}(G)$ to contain a nonabelian free subgroup. We also study the centraliser of an iwip element of $\\mathrm{Out}(G)$ and the stabiliser of its associated lamination.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-08T20:00:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F28",
      "20F65",
      "20F34"
    ],
    "keywords": [
      "free product",
      "iwip automorphisms",
      "outer automorphism group",
      "nonabelian free subgroup",
      "iwip element"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}