{"id":"W2463720351","doi":"10.1080/00927872.2015.1130146","title":"Locally Finite Groups with Centralizers of Finite Rank","year":2016,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Centralizer and normalizer; CA-group; Automorphism; Involution (esoterism); Rank (graph theory); Classification of finite simple groups; Group of Lie type; Simple group; Pure mathematics; Simple (philosophy); Combinatorics; Group theory; Abelian group","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":[0.001029504,0.0001649556,0.0003038266,0.0002822278,0.000097677,0.00001953203,0.001818044,0.00009809652,0.0002957309],"category_scores_gemma":[0.001855693,0.0001140901,0.00006840633,0.0006770444,0.0008187165,0.0001826422,0.0005230711,0.0002812351,0.00009921873],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000949428,"about_ca_system_score_gemma":0.0001049598,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001792262,"about_ca_topic_score_gemma":0.0002074465,"domain_scores_codex":[0.9980776,0.0005263825,0.0005184792,0.0002069814,0.0003111541,0.0003593724],"domain_scores_gemma":[0.9890484,0.007305939,0.0001799326,0.003199072,0.0001827546,0.0000839632],"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":[0.0002026128,0.000516573,0.01099943,0.00009483602,0.00007243679,0.000005226113,0.001296437,0.00001303288,0.0008525806,0.9764489,0.0004606749,0.009037236],"study_design_scores_gemma":[0.005227867,0.000368491,0.006153684,0.001461772,0.00006098373,0.00001346448,0.0007180755,0.001351363,0.002815003,0.9738525,0.007372779,0.0006040354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.78421,0.001647466,0.1281973,0.01472953,0.0001576682,0.00274674,0.0002238702,0.0004807779,0.06760663],"genre_scores_gemma":[0.970204,0.0005438714,0.02848803,0.0000647798,0.00001045929,0.00009213459,0.00001253916,0.00004363241,0.0005405414],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.185994,"threshold_uncertainty_score":0.465246,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08541666206989074,"score_gpt":0.3476077818901665,"score_spread":0.2621911198202758,"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."}}