{"id":"W2039246418","doi":"10.1016/j.jalgebra.2005.05.014","title":"On centrally orderable groups","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Nilpotent group; Combinatorics; Central series; Generator (circuit theory); Nilpotent; Order (exchange); Metabelian group; Group (periodic table); Pure mathematics; Regular polygon; Discrete mathematics; Abelian group; 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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001188002,0.0001136171,0.0002493825,0.0001815153,0.00006698647,0.00005649757,0.0003479905,0.00006730607,0.001545012],"category_scores_gemma":[0.000941226,0.00008643664,0.0001422377,0.0001600485,0.00003879976,0.0002369204,0.00003712884,0.0004966152,0.0002431506],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001109433,"about_ca_system_score_gemma":0.00008154196,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.347229e-7,"about_ca_topic_score_gemma":0.000003939308,"domain_scores_codex":[0.9984302,0.0001200768,0.0004574558,0.00009066467,0.0005881608,0.0003134457],"domain_scores_gemma":[0.9984093,0.0007717432,0.0002499417,0.0002251227,0.0001892029,0.0001546753],"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":[0.0004195974,0.0006859354,0.0001985895,0.00005333923,0.0001302507,0.0001334135,0.0007893679,0.00007864121,0.001826923,0.9186791,0.06764454,0.009360351],"study_design_scores_gemma":[0.001537256,0.000792692,0.0004481496,0.0001334957,0.0000317789,0.0002963599,0.0001404197,0.0001813096,0.004106708,0.97642,0.01573618,0.0001755923],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9810588,0.0001215193,0.001054272,0.002412437,0.0001766823,0.00009268786,0.000001672535,0.00002115907,0.01506073],"genre_scores_gemma":[0.9845667,0.00004430959,0.01240922,0.0004491946,0.0006242847,0.000001010212,3.725674e-7,0.00003388809,0.001870983],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.057741,"threshold_uncertainty_score":0.9993677,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03970182035898637,"score_gpt":0.327507680716822,"score_spread":0.2878058603578356,"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."}}