{
  "id": "math/9201264",
  "version": "v1",
  "published": "1992-01-01T00:00:00.000Z",
  "updated": "1992-01-01T00:00:00.000Z",
  "title": "Semistability of amalgamated products, HNN-extensions, and all one-relator groups",
  "authors": [
    "Michael L. Mihalik",
    "Steven T. Tschantz"
  ],
  "comment": "6 pages. Abstract added in migration.",
  "journal": "Bull. Amer. Math. Soc. (N.S.) 26 (1992) 131-136",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "The authors announce the following theorem. Theorem 1. If $G=A*_H B$ is an amalgamated product where $A$ and $B$ are finitely presented and semistable at infinity, and $H$ is finitely generated, then $G$ is semistable at infinity. If $G=A*_H$ is an HNN-extension where $A$ is finitely presented and semistable at infinity, and $H$ is finitely generated, then $G$ is semistable at infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1992-01-01T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "amalgamated product",
      "one-relator groups",
      "hnn-extension",
      "semistability"
    ],
    "tags": [
      "journal article",
      "expository article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Bull. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1992math......1264M"
    }
  }
}