{"id":"W2894771945","doi":"10.1090/tran/8242","title":"Finite index theorems for iterated Galois groups of unicritical polynomials","year":2020,"lang":"lv","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Ministry of Science and Technology, Taiwan","keywords":"Mathematics; Combinatorics; Finite field; Iterated function; Prime power; Product (mathematics); Function field; Prime (order theory); Field (mathematics); Pure mathematics; Mathematical analysis; Geometry","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":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001779595,0.0008793576,0.002989305,0.00009257354,0.0003746618,0.00006392931,0.001863993,0.0005616638,0.001056829],"category_scores_gemma":[0.001641801,0.0006789209,0.004140247,0.001323685,0.004374638,0.0001172598,0.0002842633,0.001578675,0.00003703514],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001658089,"about_ca_system_score_gemma":0.0003557077,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008321457,"about_ca_topic_score_gemma":0.000002440936,"domain_scores_codex":[0.9943414,0.0006811559,0.00244881,0.0008366677,0.0009020257,0.0007899107],"domain_scores_gemma":[0.9853085,0.0100181,0.001948182,0.001878532,0.0005131752,0.0003334601],"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":[0.003783715,0.01142678,0.0002765079,0.04819494,0.01670173,0.000004616211,0.05706139,0.00322141,0.02127372,0.8272319,0.003976431,0.006846852],"study_design_scores_gemma":[0.00136526,0.0005204436,0.0001413103,0.001349643,0.002815713,0.00001904032,0.009096717,0.03129029,0.01529152,0.9371359,0.0001484236,0.0008256751],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1223844,0.00008209304,0.8693935,0.003264481,0.0003097625,0.002111836,0.001451232,0.0001143576,0.000888411],"genre_scores_gemma":[0.95459,0.0001358937,0.04368902,0.000430812,0.000180749,0.0002044795,0.000024577,0.0001627952,0.0005817231],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8322056,"threshold_uncertainty_score":0.9998564,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03107566806004269,"score_gpt":0.2949785039354849,"score_spread":0.2639028358754422,"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."}}