{
  "id": "math/0506518",
  "version": "v1",
  "published": "2005-06-24T21:59:14.000Z",
  "updated": "2005-06-24T21:59:14.000Z",
  "title": "Diagram rigidity for geometric amalgamations of free groups",
  "authors": [
    "J. -F. Lafont"
  ],
  "comment": "16 pages",
  "journal": "J. Pure Appl. Algebra 209 (2007), pgs. 771-780",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove a topological rigidity result for simple, thick, hyperbolic P-manifolds of dimension 2: isomorphism of the fundamental groups implies homeomorphism of the P-manifolds. An immediate application is a diagram rigidity theorem for certain amalgamations of free groups: the direct limits of two such diagrams are isomorphic if and only if there is an isomorphism between the respective diagrams.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-24T21:59:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free groups",
      "geometric amalgamations",
      "fundamental groups implies homeomorphism",
      "diagram rigidity theorem",
      "topological rigidity result"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6518L"
    }
  }
}