English

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

Combinatorics 2022-01-11 v1 Group Theory

Abstract

We prove that the group Cp4×CqC_p^4\times C_q is a DCI-group for distinct primes pp and qq, that is, two Cayley digraphs over Cp4×CqC_p^4 \times C_q are isomorphic if and only if their connection sets are conjugate by a group automorphism.

Keywords

Cite

@article{arxiv.1912.08835,
  title  = {The group $C^4_p\times C_q$ is a DCI-group},
  author = {István Kovács and Grigory Ryabov},
  journal= {arXiv preprint arXiv:1912.08835},
  year   = {2022}
}

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20 pages