{
  "id": "1202.1786",
  "version": "v2",
  "published": "2012-02-08T18:14:04.000Z",
  "updated": "2012-02-28T02:32:54.000Z",
  "title": "Almost-Commuting-Liftable Subgroups of Galois Groups",
  "authors": [
    "Adam Topaz"
  ],
  "comment": "Version 2: updated two references, added a few words to the argument in Theorem 3, fixed a few typos. All results and arguments are the same. 38 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let K be a field and \\ell be a prime such that char K \\neq \\ell. In the presence of sufficiently many roots of unity in K, we show how to recover some of the inertia/decomposition structure of valuations inside the maximal (\\Z/\\ell)-abelian resp. pro-\\ell-abelian Galois group of K using its (Z/\\ell)-central resp. pro-\\ell-central extensions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-28T02:32:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12E30",
      "12F10",
      "12G05",
      "12J25"
    ],
    "keywords": [
      "galois group",
      "almost-commuting-liftable subgroups",
      "inertia/decomposition structure",
      "valuations inside",
      "extensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.1786T"
    }
  }
}