用元素顺序集识别$A_7$
Recognizing $A_7$ by its set of element orders
摘要：
设$G$是一个周期群，$G$的谱$ω(G) \subseteq \mathbb{N}$是$G$中元素的阶的集合。本文证明了交错群$A_{7}$在所有群类中由其谱唯一定义。
英文摘要：
Let $G$ be a periodic group, the spectrum $ω(G) \subseteq \mathbb{N}$ of $G$ is the set of orders of elements in $G$. In this paper we prove that the alternating group $A_{7}$ is uniquely defined by its spectrum in the class of all groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
