{"id":"W2098569041","doi":"10.1017/s1446788700003335","title":"Group Laws Implying Virtual Nilpotence","year":2003,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"ca_institutions":"Bank of Canada; York University","funders":"","keywords":"Mathematics; Exponent; Group (periodic table); Pure mathematics; Nilpotent group; Class (philosophy); Finitely-generated abelian group; Bounded function; Nilpotent; Stallings theorem about ends of groups; Mathematical analysis; Computer science","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":[0.004420293,0.0002485197,0.0005228344,0.00003759628,0.000277759,0.000118995,0.001006629,0.0001972442,0.0009010203],"category_scores_gemma":[0.00317581,0.0001478393,0.0009965154,0.0004136689,0.0003635597,0.0002651025,0.0001482146,0.001081632,0.00008300882],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001830033,"about_ca_system_score_gemma":0.00009529522,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.428041e-7,"about_ca_topic_score_gemma":4.467272e-7,"domain_scores_codex":[0.9967024,0.0004686985,0.0009618035,0.0001772028,0.00111027,0.0005796489],"domain_scores_gemma":[0.996883,0.001486264,0.000581229,0.0005868259,0.0002049746,0.0002577272],"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":[0.00003044162,0.0004923473,0.0003338001,0.0002769894,0.0002688597,0.00002223452,0.002836334,0.00001063867,0.008958619,0.9506699,0.03574584,0.0003540144],"study_design_scores_gemma":[0.0007005866,0.0001715986,0.0001775494,0.0002699069,0.0001151521,0.0006249953,0.003161655,0.00007442031,0.003726383,0.9882048,0.002556021,0.0002169411],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9654235,0.00004550559,0.02438381,0.002946041,0.0005932116,0.0006051866,0.0000100583,0.00006154851,0.005931116],"genre_scores_gemma":[0.9147657,0.00001369762,0.07827555,0.0002640293,0.0002120771,0.000007096455,1.898861e-7,0.00005998789,0.006401662],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05389174,"threshold_uncertainty_score":0.9865541,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0963066885611203,"score_gpt":0.3547818362552608,"score_spread":0.2584751476941405,"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."}}