{
  "id": "1405.1163",
  "version": "v1",
  "published": "2014-05-06T06:32:16.000Z",
  "updated": "2014-05-06T06:32:16.000Z",
  "title": "Isolated orderings on amalgamated free products",
  "authors": [
    "Tetsuya Ito"
  ],
  "comment": "10 pages, 3 figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We show that an amalgamated free product $G*_{A}H$ admits a discrete isolated ordering, under some assumptions of $G,H$ and $A$. This generalizes the author's previous construction of isolated orderings, and unlike known constructions of isolated orderings, can produce an isolated ordering with many non-trivial proper convex subgroups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-06T06:32:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "amalgamated free product",
      "isolated ordering",
      "non-trivial proper convex subgroups",
      "construction",
      "assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.1163I"
    }
  }
}