{"id":"W2950572779","doi":"10.48550/arxiv.1003.5894","title":"Toric-friendly groups","year":2010,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Extension (predicate logic); Torus; Algebraic group; Field (mathematics); Pure mathematics; Maximal torus; Group (periodic table); Algebraic number; Orbit (dynamics); Physics; Combinatorics; Computer science; Mathematical analysis; Geometry; Quantum mechanics; Lie algebra; Engineering","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004001735,0.0005683299,0.0003137779,0.001637004,0.001251155,0.001941219,0.0004162121,0.0004340863,0.003320177],"category_scores_gemma":[0.001334545,0.0002972392,0.000392178,0.0007542939,0.002852673,0.002109068,0.002424136,0.0006349718,0.0005838533],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004892575,"about_ca_system_score_gemma":0.0003045874,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004055962,"about_ca_topic_score_gemma":0.0003634092,"domain_scores_codex":[0.9993479,0.0001016366,0.00004266507,0.0001482899,0.0001681571,0.0001913675],"domain_scores_gemma":[0.9988095,0.0001712111,0.0003689729,0.0001342792,0.0001196837,0.0003963649],"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":[0.0004044137,0.00004696507,0.01194726,0.000206178,0.00004355273,0.0008314527,0.005633025,0.002081429,0.009767157,0.9414831,0.00256062,0.0249949],"study_design_scores_gemma":[0.0001159083,0.0005298521,0.02988151,0.0001511213,0.0001439695,0.005283058,0.006187023,0.01005034,0.01192164,0.8654495,0.07017606,0.0001099063],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9313852,0.0005711768,0.02420822,0.0003864852,0.00007233986,0.00006705937,0.0003554518,0.000166507,0.04278754],"genre_scores_gemma":[0.9933049,0.0002161382,0.002730744,0.00003667882,0.0000729124,0.00002916534,0.0002431406,0.0000120519,0.003354238],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003320177,"threshold_uncertainty_score":0.01110715,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06798526165301325,"score_gpt":0.2086124555948268,"score_spread":0.1406271939418136,"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."}}