{
  "id": "2305.08720",
  "version": "v1",
  "published": "2023-05-15T15:32:19.000Z",
  "updated": "2023-05-15T15:32:19.000Z",
  "title": "Stability of amalgamated free products and HNN extensions",
  "authors": [
    "Maria Gerasimova",
    "Konstantin Shchepin"
  ],
  "categories": [
    "math.GR",
    "math.OA"
  ],
  "abstract": "We study stability of amalgamated free products and HNN extensions of stable groups over finite groups. We focus on operator norm stability, Hilbert-Schmidt stability and stability in permutations. We provide many new examples of stable (or flexibly stable) non-amenable groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-15T15:32:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "amalgamated free products",
      "hnn extensions",
      "operator norm stability",
      "study stability",
      "finite groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}