On the Cayley isomorphism problem for a digraph with 24 vertices

Pablo Spiga

Abstract


In this paper we are mainly concerned with the Cayley isomorphism problem for groups containing $Q_8$. We prove that the group $Q_8\times C_3$ is not a CI-group with respect to colour ternary relational structures. Further, we prove that the non-nilpotent group $Q_8\rtimes C_3$ is not a CI-group with respect to graphs.

Keywords


Regular subgroup, Cayley isomorphism

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DOI: https://doi.org/10.26493/1855-3974.51.89f

ISSN: 1855-3974

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