论文标题
有限组的超透明性的另一个标准
Another criterion for supersolvability of finite groups
论文作者
论文摘要
令$ o（g）$为有限的$ g $的平均订单。在本文中，我们证明，如果$ o（g）<\ frac {31} {12} $ \ ,,，那么$ g $是可以进行的。此外，我们有$ o（g）= \ frac {31} {12} $，仅当$ g \ cong a_4 $。我们还对满足$ o（g）<\ frac {31} {12} $ \ \，。的有限组$ g $进行了分类。
Let $o(G)$ be the average order of a finite group $G$. In this paper, we prove that if $o(G)<\frac{31}{12}$\,, then $G$ is supersolvable. Moreover, we have $o(G)=\frac{31}{12}$ if and only if $G\cong A_4$. We also classify finite groups $G$ satisfying $o(G)<\frac{31}{12}$\,.
