{"id":"W2031795125","doi":"10.1007/s10469-009-9050-4","title":"Normal relatively convex subgroups of solvable orderable groups","year":2009,"lang":"en","type":"article","venue":"Algebra and Logic","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Combinatorics; Solvable group; Rank (graph theory); Normal subgroup; Regular polygon; Class (philosophy); Group (periodic table); Fitting subgroup; 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":[0.0007393343,0.0001595433,0.0003405497,0.000104338,0.0001270195,0.00002918902,0.0001911365,0.000128231,0.0006206766],"category_scores_gemma":[0.000332697,0.0001310623,0.00006181615,0.0002511369,0.0001607595,0.0002027381,0.00006755922,0.00025575,0.00005048813],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001627039,"about_ca_system_score_gemma":0.00002827308,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001257253,"about_ca_topic_score_gemma":0.000005309243,"domain_scores_codex":[0.9986947,0.0001304092,0.0003082852,0.0002415323,0.0002463211,0.0003787085],"domain_scores_gemma":[0.9988089,0.0006116399,0.0001109023,0.0002789352,0.00009428362,0.00009538289],"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":[0.00008608522,0.0001841856,0.001509227,0.00008079893,0.00002673892,0.00001732014,0.0008693468,0.000001050493,0.002004069,0.9927784,0.0009976238,0.001445139],"study_design_scores_gemma":[0.0007441263,0.0005708126,0.008725125,0.00003448856,0.00002240856,0.00002548473,0.0002908654,0.0002145144,0.001707969,0.9872348,0.0002554157,0.0001739851],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9579309,0.0004536655,0.002192676,0.0004266505,0.00004298926,0.0002835432,0.000005684963,0.00007635258,0.0385876],"genre_scores_gemma":[0.9951847,0.00005864871,0.002988161,0.0002319351,0.0000393916,0.000006722646,0.000005333326,0.00001472987,0.001470415],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03725383,"threshold_uncertainty_score":0.6795973,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05206400121179873,"score_gpt":0.3093811344719451,"score_spread":0.2573171332601464,"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."}}