{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011064,0.0002146059,0.0002608265,0.0004316579,0.00007250145,0.0001401408,0.0003134864,0.0001554655,0.0003739425],"category_scores_gemma":[0.0006490924,0.000210352,0.00008956199,0.001275661,0.00007569817,0.0002711264,0.0001485717,0.0005750292,0.0005926433],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003352658,"about_ca_system_score_gemma":0.0001230226,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002580658,"about_ca_topic_score_gemma":0.00003168259,"domain_scores_codex":[0.9979788,0.0001979844,0.0003861302,0.0004095487,0.0005475983,0.0004799498],"domain_scores_gemma":[0.9978096,0.001530841,0.0000408614,0.0004328794,0.00007811921,0.0001076831],"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":[0.00001188761,0.0001562327,0.0006486506,0.0003040982,0.00002848799,0.0001802185,0.002049027,0.000001854271,0.0001258863,0.9872048,0.005474404,0.00381443],"study_design_scores_gemma":[0.0004371938,0.0000938603,0.001196126,0.0001187795,0.00001837445,0.0000278704,0.000311371,0.002863375,0.0002031336,0.9923265,0.002163985,0.0002394225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9825956,0.0009151019,0.0005341741,0.0006566965,0.0009480554,0.0004277154,0.000008120694,0.0003603925,0.01355417],"genre_scores_gemma":[0.997355,0.00004620679,0.0002340375,0.00005586677,0.00005261126,0.00006980899,0.00001685212,0.00007830025,0.002091306],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01475943,"threshold_uncertainty_score":0.8577906,"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."}}