{
  "id": "1709.03888",
  "version": "v1",
  "published": "2017-09-12T14:53:27.000Z",
  "updated": "2017-09-12T14:53:27.000Z",
  "title": "Embeddings into Thompson's groups from quasi-median geometry",
  "authors": [
    "Anthony Genevois"
  ],
  "comment": "34 pages, 14 figures. Comments are welcome",
  "categories": [
    "math.GR"
  ],
  "abstract": "The main result of this article is that any braided (resp. annular, planar) diagram group $D$ splits as a short exact sequence $1 \\to R \\to D \\to S \\to 1$ where $R$ is a subgroup of some right-angled Artin group and $S$ a subgroup of Thompson's group $V$ (resp. $T$, $F$). As an application, we show that several braided diagram groups embeds into Thompson's group $V$, including Higman's groups $V_{n,r}$, groups of quasi-automorphisms $QV_{n,r,p}$, and generalised Houghton's groups $H_{n,p}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-12T14:53:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "05C25"
    ],
    "keywords": [
      "thompsons group",
      "quasi-median geometry",
      "embeddings",
      "short exact sequence",
      "braided diagram groups embeds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}