{
  "id": "1302.1255",
  "version": "v1",
  "published": "2013-02-06T03:39:14.000Z",
  "updated": "2013-02-06T03:39:14.000Z",
  "title": "On the abelian groups which occur as Galois cohomology groups of global unit groups",
  "authors": [
    "Manabu Ozaki"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "For any finite group G and integer i, let $\\mathcal{H}^i(G)$ be the set of all the isomorphism classes of the Galois cohomology groups $\\hat{H}^i(K/k,E_K)$, where K/k runs over all the unramified G-extension of number fields and E_K denotes the global unit group of K. We will determine $\\mathcal{H}^i(G)$ for i=0,1,2, and 4 in the case where G is a finite p-group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-06T03:39:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R34"
    ],
    "keywords": [
      "galois cohomology groups",
      "global unit group",
      "abelian groups",
      "finite p-group",
      "finite group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.1255O"
    }
  }
}