论文标题

有限组的算术进行

Arithmetic progressions in finite groups

论文作者

Tărnăuceanu, Marius

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}.

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