{
  "id": "math/0202224",
  "version": "v1",
  "published": "2002-02-21T22:23:01.000Z",
  "updated": "2002-02-21T22:23:01.000Z",
  "title": "Galois Module Structure of $p$th-Power Classes of Extensions of Degree p",
  "authors": [
    "Ján Minác",
    "John Swallow"
  ],
  "journal": "Israel J. Math. 138 (2003), 29--42",
  "categories": [
    "math.NT"
  ],
  "abstract": "For fields F of characteristic not p containing a primitive $p$th root of unity, we determine the Galois module structure of the group of $p$th-power classes of K for all cyclic extensions K/F of degree p.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-02-21T22:23:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "galois module structure",
      "th-power classes",
      "cyclic extensions k/f",
      "th root",
      "characteristic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......2224M"
    }
  }
}