{"id":"W4402197980","doi":"10.5802/alco.363","title":"Cameron–Liebler sets in permutation groups","year":2024,"lang":"en","type":"article","venue":"Algebraic Combinatorics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"Vlaamse regering; Natural Sciences and Engineering Research Council of Canada; Fonds Wetenschappelijk Onderzoek","keywords":"Transitive relation; Set (abstract data type); Permutation (music); Permutation group; Coset; Mathematics; Combinatorics; Function (biology); Primitive permutation group; Computer science; Cyclic permutation; Symmetric group; Biology; Genetics; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001326683,0.0009750912,0.0005903989,0.003707052,0.002125687,0.002703153,0.0007129693,0.001006186,0.004792817],"category_scores_gemma":[0.002705967,0.0004740296,0.0007330843,0.001848654,0.00350049,0.003484694,0.002281,0.001675452,0.0006111303],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001384648,"about_ca_system_score_gemma":0.0003796248,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007109688,"about_ca_topic_score_gemma":0.0006240993,"domain_scores_codex":[0.9990295,0.0003112218,0.00004758162,0.000148558,0.0002820482,0.0001810603],"domain_scores_gemma":[0.9988968,0.0004604687,0.0001994529,0.00009761332,0.00009285432,0.0002527701],"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":[0.00001696437,0.000005697482,0.0001914709,0.00001009977,0.000002789686,0.00005088067,0.0002552854,0.0005744309,0.0007106455,0.9963797,0.0001768107,0.00162528],"study_design_scores_gemma":[0.00001307193,0.0000337187,0.0004211151,0.00001860668,0.000006332644,0.0001701517,0.0001584502,0.005394095,0.001500047,0.9884918,0.003769695,0.00002303601],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7545126,0.000811257,0.1662178,0.0009291532,0.000208712,0.00009969172,0.0002383922,0.0002814793,0.07670078],"genre_scores_gemma":[0.9589119,0.0003260556,0.02888876,0.0001966508,0.0001266771,0.0001220736,0.0001788977,0.00006307539,0.01118598],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004792817,"threshold_uncertainty_score":0.01603353,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05393017189526066,"score_gpt":0.3610549727244782,"score_spread":0.3071248008292175,"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."}}