论文标题
有限基团元素顺序的乘积的上限
Upper bounds for the product of element orders of finite groups
论文作者
论文摘要
令$ g $为有限的订单$ n $，用$ρ（g）$表示$ g $的元素订单的产品。这项工作的目的是为$ρ（g）$提供一些上限，具体仅取决于$ n $，而当$ g $属于某些类别的非循环群体时，就以其最小的质量除数。
Let $G$ be a finite group of order $n$, and denote by $ρ(G)$ the product of element orders of $G$. The aim of this work is to provide some upper bounds for $ρ(G)$ depending only on $n$ and on its least prime divisor, when $G$ belongs to some classes of non-cyclic groups.
