{
  "id": "2205.12316",
  "version": "v1",
  "published": "2022-05-24T18:52:31.000Z",
  "updated": "2022-05-24T18:52:31.000Z",
  "title": "Upper bounds for the product of element orders of finite groups",
  "authors": [
    "Elena Di Domenico",
    "Carmine Monetta",
    "Marialaura Noce"
  ],
  "comment": "10 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "Let $G$ be a finite group of order $n$, and denote by $\\rho(G)$ the product of element orders of $G$. The aim of this work is to provide some upper bounds for $\\rho(G)$ depending only on $n$ and on its least prime divisor, when $G$ belongs to some classes of non-cyclic groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-24T18:52:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "element orders",
      "finite group",
      "upper bounds",
      "non-cyclic groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}