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.
Spiga, P. (2008). On the Cayley Isomorphism Problem for a Digraph with 24 Vertices. ARS MATHEMATICA CONTEMPORANEA, 1(1), 38-43.
On the Cayley Isomorphism Problem for a Digraph with 24 Vertices
SPIGA, PABLOPrimo
2008
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.
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