{
  "id": "1705.10905",
  "version": "v1",
  "published": "2017-05-31T01:08:05.000Z",
  "updated": "2017-05-31T01:08:05.000Z",
  "title": "Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field",
  "authors": [
    "Hugo Chapdelaine",
    "Radan Kučera"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "The aim of this paper is to study the group of elliptic units of a cyclic extension $L$ of an imaginary quadratic field $K$ such that the degree $[L:K]$ is a power of an odd prime $p$. We construct an explicit root of the usual top generator of this group and we use it to obtain an annihilation result of the $p$-Sylow subgroup of the ideal class group of $L$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-31T01:08:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R20",
      "11R27",
      "11R29"
    ],
    "keywords": [
      "ideal class group",
      "imaginary quadratic field",
      "cyclic extension",
      "annihilators",
      "elliptic units"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}