{"id":"W2094589803","doi":"10.1016/j.disc.2004.03.018","title":"On automorphism groups of circulant digraphs of square-free order","year":2005,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Mathematics; Wreath product; Circulant matrix; Combinatorics; Digraph; Automorphism group; Degree (music); Automorphism; Order (exchange); Free product; Discrete mathematics; Product (mathematics); Direct product; Group (periodic table); Permutation group; Permutation (music)","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005347222,0.0007785974,0.0009116304,0.001968947,0.00264289,0.003209168,0.0009210272,0.001028271,0.004565162],"category_scores_gemma":[0.002240278,0.000581113,0.0009994311,0.001627365,0.003435378,0.002946764,0.001681062,0.001792059,0.0006193736],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001908727,"about_ca_system_score_gemma":0.0009660454,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004715255,"about_ca_topic_score_gemma":0.005514512,"domain_scores_codex":[0.9994909,0.0001028779,0.00002406903,0.0001101195,0.0001056432,0.0001663802],"domain_scores_gemma":[0.9976332,0.001077755,0.0003389338,0.0002705532,0.00019853,0.000481055],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004669405,0.00002643851,0.0003518451,0.0000182358,0.000005572896,0.0001233016,0.0006396427,0.001154411,0.001015859,0.9937413,0.0004440434,0.002432626],"study_design_scores_gemma":[0.00002057672,0.00002242568,0.0003642609,0.00001131406,0.000009029412,0.00006322694,0.0001940523,0.003113939,0.000426055,0.9934862,0.002276776,0.00001214717],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.872656,0.0007193317,0.04828594,0.0008500387,0.0002893975,0.00008209923,0.0002495593,0.0002603816,0.07660718],"genre_scores_gemma":[0.9726643,0.0005734815,0.006280884,0.0002801012,0.0002350192,0.00005115012,0.0003209077,0.00008655576,0.01950765],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004715255,"threshold_uncertainty_score":0.01527196,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04385623954598387,"score_gpt":0.3194297307008574,"score_spread":0.2755734911548735,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}