三元关系结构的CI-群：新例
CI-groups with respect to ternary relational structures: new examples
摘要：
我们找到了一个充分条件来证明某些阿贝尔群关于三元关系结构不是CI-群，然后证明了群$\Z_3\times\Z_2^2$，$\Z_7\times\Z_2^3$和$\Z_5\times\Z_2^4$满足这个条件.然后，我们完全确定哪些群$\Z_2^3\times\Z_p$，$p$一个素数，是CI-群的二元和三元关系结构。最后，我们证明了$\Z_2^5$是不是一个CI-群的三元关系结构。
英文摘要：
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 $\Z_3\times\Z_2^2$, $\Z_7\times\Z_2^3$, and $\Z_5\times\Z_2^4$ satisfy this condition. Then we completely determine which groups $\Z_2^3\times\Z_p$, $p$ a prime, are CI-groups with respect to binary and ternary relational structures. Finally, we show that $\Z_2^5$ is not a CI-group with respect to ternary relational structures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
