{"id":"W1974917322","doi":"10.1090/s1061-0022-09-01064-4","title":"Elementary subgroups of isotropic reductive groups","year":2009,"lang":"en","type":"article","venue":"St Petersburg Mathematical Journal","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":69,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Unipotent; Reductive group; Combinatorics; Group (periodic table); Rank (graph theory); Commutative property; Torus; Commutative ring; Pure mathematics; Group theory; Geometry; Physics","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":[0.0002790156,0.0004332631,0.0003454081,0.00080137,0.0005978047,0.001556329,0.0003212282,0.0002607497,0.003208026],"category_scores_gemma":[0.000598343,0.0002025628,0.0003510542,0.0003621824,0.001792667,0.00151248,0.001743973,0.0006419542,0.0006311872],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005814346,"about_ca_system_score_gemma":0.0003790937,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005850816,"about_ca_topic_score_gemma":0.0004330144,"domain_scores_codex":[0.9996355,0.0000586295,0.00002218019,0.00007232524,0.00009803819,0.0001133027],"domain_scores_gemma":[0.9997222,0.00006128826,0.00005490111,0.00004909627,0.00003646218,0.00007602619],"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":[0.00008444003,0.00002447718,0.001255555,0.00003221536,0.000008423827,0.0002502525,0.001295922,0.0004172563,0.007367521,0.9803049,0.0006154226,0.00834377],"study_design_scores_gemma":[0.00007881568,0.0001748452,0.004607826,0.00003307337,0.00003622274,0.0007042312,0.001682922,0.004032587,0.013414,0.9400584,0.03514558,0.00003163507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8989478,0.000732156,0.02528998,0.0005086144,0.00008741397,0.00005159338,0.0002042312,0.0002100607,0.0739681],"genre_scores_gemma":[0.9843552,0.0003309208,0.002926881,0.00007657251,0.0001049513,0.00003689079,0.0002768061,0.00002638564,0.01186535],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003208026,"threshold_uncertainty_score":0.01073188,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02314297461849852,"score_gpt":0.305855496807219,"score_spread":0.2827125221887204,"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."}}