{
  "id": "1108.2880",
  "version": "v1",
  "published": "2011-08-14T15:15:35.000Z",
  "updated": "2011-08-14T15:15:35.000Z",
  "title": "Topological Symmetry Groups of Graphs in 3-Manifolds",
  "authors": [
    "Erica Flapan",
    "Harry Tamvakis"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that for every closed, connected, orientable, irreducible 3-manifold, there exists an alternating group A_n which is not the topological symmetry group of any graph embedded in the manifold. We also show that for every finite group G, there is an embedding {\\Gamma} of some graph in a hyperbolic rational homology 3-sphere such that the topological symmetry group of {\\Gamma} is isomorphic to G.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-14T15:15:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M15",
      "57M60",
      "05C10",
      "05C25"
    ],
    "keywords": [
      "topological symmetry group",
      "hyperbolic rational homology",
      "finite group",
      "isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.2880F"
    }
  }
}