{"paper":{"title":"CI-groups with respect to ternary relational structures: new examples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Edward Dobson, Pablo Spiga","submitted_at":"2012-02-22T17:48:38Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4988","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}