CI-groups with respect to ternary relational structures : new examples
Dobson, Edward Tauscher, 1965- ; Spiga, Pablo
We find a sufficient condition to establish that certain abelian groups are not CI-groups with respect to ternary relational structures, and then show that the groups ▫$\mathbb{Z}_3 \times ...\mathbb{Z}_2^2$▫, ▫$\mathbb{Z}_7 \times \mathbb{Z}_2^3$▫, and ▫$\mathbb{Z}_5 \times \mathbb{Z}_2^4$▫ satisfy this condition. Then we completely determine which groups ▫$\mathbb{Z}_2^3 \times \mathbb{Z}_p$▫, ▫$p$▫ a prime, are CI-groups with respect to color binary and ternary relational structures. Finally, we show that ▫$\mathbb{Z}_2^5$▫ is not a CI-group with respect to ternary relational structures.
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