{
  "id": "2104.03299",
  "version": "v1",
  "published": "2021-04-07T17:55:43.000Z",
  "updated": "2021-04-07T17:55:43.000Z",
  "title": "On the First Cohomology of Local Units",
  "authors": [
    "Wei Yin"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In the theory of local fields we have the well-known filtration of unit groups. In this short paper we compute the first cohomology groups of unit gorups for a finite Galois extension of local fields. We show that these cohomology groups are closely related to the ramification indices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-07T17:55:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local units",
      "local fields",
      "first cohomology groups",
      "finite galois extension",
      "short paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}