{
  "id": "2105.10807",
  "version": "v1",
  "published": "2021-05-22T20:45:37.000Z",
  "updated": "2021-05-22T20:45:37.000Z",
  "title": "Some special coprime actions and their consequence",
  "authors": [
    "Gülin Ercan",
    "İsmail Ş. Güloğlu",
    "M. Yasir Kızmaz",
    "Danila O. Revin"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "Let a group $A$ act on the group $G$ coprimely. Suppose that the order of the fixed point subgroup $C_G(A)$ is not divisible by an arbitrary but fixed prime $p$. In the present paper we determine bounds for the $p$-length of the group $G$ in terms of the order of $A$, and investigate how some $A$-invariant $p$-subgroups are embedded in $G$ under various additional assumptions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-22T20:45:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "special coprime actions",
      "consequence",
      "additional assumptions",
      "determine bounds",
      "fixed point subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}