{"paper":{"title":"On Color Preserving Automorphisms of Cayley Graphs of Odd Square-free Order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ademir Hujdurovi\\'c, Edward Dobson, Joy Morris, Klavdija Kutnar","submitted_at":"2015-12-01T12:33:54Z","abstract_excerpt":"An automorphism $\\alpha$ of a Cayley graph $Cay(G,S)$ of a group $G$ with connection set $S$ is color-preserving if $\\alpha(g,gs) = (h,hs)$ or $(h,hs^{-1})$ for every edge $(g,gs)\\in E(Cay(G,S))$. If every color-preserving automorphism of $Cay(G,S)$ is also affine, then $Cay(G,S)$ is a CCA (Cayley color automorphism) graph. If every Cayley graph $Cay(G,S)$ is a CCA graph, then $G$ is a CCA group. Hujdurovi\\'c, Kutnar, D.W. Morris, and J. Morris have shown that every non-CCA group $G$ contains a section isomorphic to the nonabelian group $F_{21}$ of order $21$. We first show that there is a uni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00239","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"}