论文标题
通过其一组元素订单识别$ a_7 $
Recognizing $A_7$ by its set of element orders
论文作者
论文摘要
令$ g $为定期组，$ g $的频谱$ω（g）\ subseteq \ mathbb {n} $是$ g $中的元素订单集。在本文中，我们证明了交替的组$ a_ {7} $在所有组类别中的频谱中唯一定义。
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.
