{
  "id": "0802.0118",
  "version": "v6",
  "published": "2008-02-01T13:23:45.000Z",
  "updated": "2010-09-15T00:42:25.000Z",
  "title": "Groups with the same cohomology as their profinite completions",
  "authors": [
    "Karl Lorensen"
  ],
  "comment": "The final version corrects several misprints that appeared in the published version. In addition, it remedies some mistaken attributions regarding quasipotent groups",
  "journal": "J. Algebra 320 (2008), 1704-1722",
  "categories": [
    "math.GR",
    "math.KT"
  ],
  "abstract": "For any positive integer $n$, $\\mathcal{A}_n$ is the class of all groups $G$ such that, for $0\\leq i\\leq n$, $H^i(\\hat{G},A)\\cong H^i(G,A)$ for every finite discrete $\\hat{G}$-module $A$. We describe certain types of free products with amalgam and HNN extensions that are in some of the classes $\\mathcal{A}_n$. In addition, we investigate the residually finite groups in the class $\\mathcal{A}_2$.",
  "revisions": [
    {
      "version": "v6",
      "updated": "2010-09-15T00:42:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E18",
      "20E26"
    ],
    "keywords": [
      "profinite completions",
      "cohomology",
      "residually finite groups",
      "hnn extensions",
      "finite discrete"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.0118L"
    }
  }
}