{
  "id": "1809.05146",
  "version": "v1",
  "published": "2018-09-13T19:12:03.000Z",
  "updated": "2018-09-13T19:12:03.000Z",
  "title": "Confined subgroups of Thompson's group $F$ and its embeddings into wobbling groups",
  "authors": [
    "Maksym Chaudkhari"
  ],
  "comment": "10 pages",
  "categories": [
    "math.GR",
    "math.DS"
  ],
  "abstract": "We obtain a characterisation of confined subgroups of Thompson's group $F$. As a result, we deduce that orbital graph of a point under action of $F$ has uniformly subexponential growth if and only if this point is fixed by the commutator subgroup. This allows us to prove non-embeddability of $F$ into wobbling groups of graphs with uniformly subexponential growth.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-13T19:12:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thompsons group",
      "wobbling groups",
      "confined subgroups",
      "uniformly subexponential growth",
      "embeddings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}