{"id":"W3174149568","doi":"10.4153/s0008439524000420","title":"Counting homomorphisms from surface groups to finite groups","year":2024,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Homomorphism; Mathematics; Surface (topology); Group (periodic table); Pure mathematics; Algebra over a field; Physics; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002258893,0.0004939385,0.00081495,0.003321935,0.001246326,0.002725927,0.001630385,0.00111999,0.00616106],"category_scores_gemma":[0.0167787,0.0004530034,0.0006164449,0.001833505,0.003886591,0.007844807,0.002867122,0.001208448,0.0004278749],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00129589,"about_ca_system_score_gemma":0.0003819293,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003607344,"about_ca_topic_score_gemma":0.0002522656,"domain_scores_codex":[0.9976296,0.0007120118,0.0001476686,0.0004566579,0.0007526909,0.0003013069],"domain_scores_gemma":[0.9889095,0.006837496,0.001270986,0.00116158,0.0007904182,0.00103007],"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":[0.0002761397,0.0001298072,0.009821779,0.00026314,0.00004499155,0.0004860552,0.001434681,0.004505695,0.008892671,0.9352896,0.001491545,0.03736393],"study_design_scores_gemma":[0.00004436543,0.0001203697,0.004277931,0.00004566839,0.00005375112,0.001065624,0.0004284976,0.02697613,0.01051111,0.9517295,0.004712384,0.00003470049],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8897968,0.0004306706,0.09194449,0.0004466685,0.0001029981,0.00006887445,0.0001188361,0.0002973854,0.01679331],"genre_scores_gemma":[0.9883927,0.000157375,0.008800674,0.0000392672,0.0001436956,0.0000564312,0.0001396334,0.00003614298,0.002234107],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00616106,"threshold_uncertainty_score":0.02061081,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02660199067511718,"score_gpt":0.2580615302418139,"score_spread":0.2314595395666968,"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."}}