{
  "id": "1208.2390",
  "version": "v1",
  "published": "2012-08-12T01:00:52.000Z",
  "updated": "2012-08-12T01:00:52.000Z",
  "title": "On the irreducible representations of soluble groups of finite rank",
  "authors": [
    "A. V. Tushev"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We obtained some sufficient and necessary conditions of existence of faithful irreducible representations of a soluble group $G$ of finite rank over a field $k$. It was shown that the existence of such representations strongly depends on construction of the socle of the group $G$. The situation is especially complicated in the case where the field $k$ is locally finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-12T01:00:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite rank",
      "soluble group",
      "representations strongly depends",
      "necessary conditions",
      "locally finite"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.2390T"
    }
  }
}