The group $C^4_p\times C_q$ is a DCI-group

preprint2019arXivOpen access

We prove that the group $C_p^4\times C_q$ is a DCI-group for distinct primes $p$ and $q$ , that is, two Cayley digraphs over $C_p^4 \times C_q$ are isomorphic if and only if their connection sets are conjugate by a group automorphism.

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The group $C^4_p\times C_q$ is a DCI-group

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The group Cp4×CqC^4_p\times C_qCp4​×Cq​ is a DCI-group

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The group $C^4_p\times C_q$ is a DCI-group