{"id":"W4402445191","doi":"10.1016/j.ejc.2024.104057","title":"All 3-transitive groups satisfy the strict-Erdős–Ko–Rado property","year":2024,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Combinatorics; Transitive relation; Property (philosophy); Discrete mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007681835,0.0002756864,0.000371563,0.0002717317,0.0001737219,0.0003440935,0.001030901,0.00004843956,0.00009728511],"category_scores_gemma":[0.001239558,0.0001433916,0.00025073,0.000759606,0.0001805581,0.0003277734,0.0001823663,0.00149913,0.0002506304],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001955424,"about_ca_system_score_gemma":0.0001887272,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000162177,"about_ca_topic_score_gemma":6.077644e-7,"domain_scores_codex":[0.9951937,0.002249829,0.0008392414,0.000229216,0.001036132,0.0004518775],"domain_scores_gemma":[0.996501,0.002094526,0.0002622858,0.00046731,0.0004559711,0.0002188527],"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":[0.0002945334,0.0004492659,0.0001691597,0.0004139373,0.0006826025,0.005706079,0.008437877,0.00001351245,0.001304246,0.8553927,0.115433,0.01170309],"study_design_scores_gemma":[0.002336278,0.002646204,0.002678854,0.0009806247,0.0004545136,0.001991499,0.001664486,0.0008989788,0.0007504747,0.6890641,0.2958019,0.0007320224],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6744898,0.00804313,0.04343438,0.01618929,0.007816641,0.001708054,0.00006357771,0.000547655,0.2477075],"genre_scores_gemma":[0.995684,0.0002732381,0.0005303556,0.0001767671,0.0004401154,0.000002035212,0.00000163613,0.0001284706,0.002763361],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3211942,"threshold_uncertainty_score":0.6513057,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07445873035584656,"score_gpt":0.3193599088458863,"score_spread":0.2449011784900397,"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."}}