{
  "id": "0803.3663",
  "version": "v1",
  "published": "2008-03-26T08:36:28.000Z",
  "updated": "2008-03-26T08:36:28.000Z",
  "title": "Unramified extensions and geometric $\\mathbb{Z}_p$-extensions of global function fields",
  "authors": [
    "Tsuyoshi Itoh"
  ],
  "comment": "7 pages",
  "journal": "Algebraic Number Theory and Related Topics 2007, RIMS K{\\^o}ky{\\u}roku Bessatsu B12 (2009), 173--182",
  "categories": [
    "math.NT"
  ],
  "abstract": "We study on finite unramified extensions of global function fields (function fields of one valuable over a finite field). We show two results. One is an extension of Perret's result about the ideal class group problem. Another is a construction of a geometric $\\mathbb{Z}_p$-extension which has a certain property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-26T08:36:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R58",
      "11R23"
    ],
    "keywords": [
      "global function fields",
      "ideal class group problem",
      "perrets result",
      "finite field",
      "finite unramified extensions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3663I"
    }
  }
}