{"id":"W2101212605","doi":"10.1155/2013/135045","title":"A Note on Hobby’s Theorem of Finite Groups","year":2013,"lang":"en","type":"article","venue":"Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Tianjin Polytechnic University; National Natural Science Foundation of China; Shanghai Leading Academic Discipline Project; Royal Canadian Geographical Society","keywords":"Hobby; Mathematics; Nilpotent; Nilpotent group; Central series; Fitting subgroup; Group (periodic table); Pure mathematics; Locally finite group; Unipotent; Algebra over a field; Discrete mathematics; Physics; Political science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.002132299,0.0005099489,0.0009150085,0.001941492,0.00265824,0.002036071,0.0009852782,0.001116032,0.005763749],"category_scores_gemma":[0.003228982,0.000285214,0.0009404191,0.001496865,0.005384685,0.007506508,0.002534294,0.003553816,0.000910905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001486056,"about_ca_system_score_gemma":0.0006056184,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003433289,"about_ca_topic_score_gemma":0.001773739,"domain_scores_codex":[0.9991269,0.0002141366,0.000049021,0.0002067202,0.0002922761,0.0001109004],"domain_scores_gemma":[0.9984294,0.0009664726,0.00007637794,0.0001684371,0.0002123656,0.0001469048],"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":[0.00001513537,0.000007294152,0.000120363,0.00005885003,0.000006370166,0.00008051082,0.0002534994,0.0001293296,0.0003452821,0.9875444,0.005247905,0.006191132],"study_design_scores_gemma":[0.000006838363,0.00001694997,0.0002394668,0.00002184652,0.000008133856,0.0001303756,0.00007337883,0.0003718635,0.0003959476,0.9507326,0.04799185,0.00001072237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.08435579,0.05402921,0.1906585,0.05204131,0.01143129,0.00008965467,0.0008313516,0.0003920888,0.6061708],"genre_scores_gemma":[0.8099597,0.02960944,0.07559954,0.009330049,0.01271178,0.0001430712,0.0006906475,0.000308494,0.06164721],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005763749,"threshold_uncertainty_score":0.01928163,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04284085084151062,"score_gpt":0.3133747773819882,"score_spread":0.2705339265404776,"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."}}