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

Ryabov, Grigory

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 $p\neq 2$.

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