{
  "id": "1802.03555",
  "version": "v1",
  "published": "2018-02-10T09:09:45.000Z",
  "updated": "2018-02-10T09:09:45.000Z",
  "title": "Breaking points in the poset of conjugacy classes of subgroups of a finite group",
  "authors": [
    "Marius Tărnăuceanu"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "In this note, we determine the finite groups whose poset of conjugacy classes of subgroups has breaking points. This leads to a new characterization of the generalized quaternion $2$-groups. A generalization of this property is also studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-10T09:09:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite group",
      "conjugacy classes",
      "breaking points",
      "characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}