{
  "id": "2209.10059",
  "version": "v1",
  "published": "2022-09-21T01:06:59.000Z",
  "updated": "2022-09-21T01:06:59.000Z",
  "title": "Comparing direct limit and inverse limit of even $K$-groups in multiple $\\mathbb{Z}_p$-extensions",
  "authors": [
    "Meng Fai Lim"
  ],
  "comment": "15 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Iwasawa first established a duality relating the direct limit and the inverse limit of class groups in a $\\mathbb{Z}_p$-extension, and this result has recently been extended to multiple $\\mathbb{Z}_p$-extensions by many authors. In this paper, we establish an analogous duality for the direct limit and the inverse limit of higher even $K$-groups in a $\\mathbb{Z}_p^d$-extension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-21T01:06:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inverse limit",
      "direct limit",
      "iwasawa first",
      "class groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}