论文标题
有限组的算术进行
Arithmetic progressions in finite groups
论文作者
论文摘要
在本文中,我们描述了有限组的结构,其元素订单或适当的(Abelian)亚组订单形成了比率$ r \ geq 2 $的算术进程。这扩展了以前的论文\ cite {1,8,4}中研究的情况$ r = 1 $。
In this paper, we describe the structure of finite groups whose element orders or proper (abelian) subgroup orders form an arithmetic progression of ratio $r\geq 2$. This extends the case $r=1$ studied in previous papers \cite{1,8,4}.