{
  "id": "1909.05849",
  "version": "v1",
  "published": "2019-09-12T17:51:31.000Z",
  "updated": "2019-09-12T17:51:31.000Z",
  "title": "A characterization of Nested Groups in terms of conjugacy classes",
  "authors": [
    "Shawn T. Burkett",
    "Mark L. Lewis"
  ],
  "comment": "4 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "A group is nested if the centers of the irreducible characters form a chain. In this paper, we will show that there is a set of subgroups associated with the conjugacy classes of group so that a group is nested if and only if these subgroups form a chain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-12T17:51:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15"
    ],
    "keywords": [
      "conjugacy classes",
      "nested groups",
      "characterization",
      "subgroups form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}