论文标题
组的Cayley同构属性$ C_4 \ Times C_P^2 $
The Cayley isomorphism property for the group $C_4\times C_p^2$
论文作者
论文摘要
如果$ g $超过$ g $的两个cayley digraphs是同构的,并且仅当它们的连接集由组自动形态结合时,则有限的$ g $被称为dci group。我们证明,当$ p $是prime时,当$ p $是dci group时,只有$ p \ p \ neq 2 $。
A finite group $G$ is called a DCI-group if two Cayley digraphs over $G$ are isomorphic if and only if their connection sets are conjugate by a group automorphism. We prove that the group $C_4\times C_p^2$, where $p$ is a prime, is a DCI-group if and only if $p\neq 2$.