{
  "id": "1705.09654",
  "version": "v1",
  "published": "2017-05-26T17:39:24.000Z",
  "updated": "2017-05-26T17:39:24.000Z",
  "title": "Partial cohomology of groups and extensions of semilattices of abelian groups",
  "authors": [
    "Mikhailo Dokuchaev",
    "Mykola Khrypchenko"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We extend the notion of a partial cohomology group $H^n(G,A)$ to the case of non-unital $A$ and find interpretations of $H^1(G,A)$ and $H^2(G,A)$ in the theory of extensions of semilattices of abelian groups by groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-26T17:39:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20M30",
      "20M18",
      "16S35",
      "16W22"
    ],
    "keywords": [
      "abelian groups",
      "extensions",
      "semilattices",
      "partial cohomology group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}