{"id":"W2003276021","doi":"10.1016/j.crma.2012.09.014","title":"On the genus of a division algebra","year":2012,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Division algebra; Brauer group; Genus; Division (mathematics); Combinatorics; Algebra over a field; Pure mathematics; Arithmetic; Filtered algebra","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":[0.001673095,0.001221831,0.001203166,0.005624131,0.00364501,0.004055185,0.001255782,0.001048375,0.007698401],"category_scores_gemma":[0.004268273,0.0005433262,0.001421798,0.003315004,0.008719834,0.008114018,0.006252472,0.003170176,0.002130236],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003105019,"about_ca_system_score_gemma":0.0007576828,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0016174,"about_ca_topic_score_gemma":0.0009793745,"domain_scores_codex":[0.9973925,0.000504414,0.0001362824,0.000574309,0.0007420601,0.000650369],"domain_scores_gemma":[0.9975033,0.0008516217,0.000314676,0.0003326828,0.0004449097,0.0005526983],"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":[0.00003707394,0.00001416895,0.000839303,0.00004113824,0.000009147469,0.0000897201,0.0007152457,0.001134277,0.0006858728,0.9876368,0.001498808,0.007298507],"study_design_scores_gemma":[0.000008521034,0.0000284398,0.0009209974,0.00005659452,0.00001543715,0.0002048683,0.0003619358,0.003404871,0.000902847,0.9779041,0.01616237,0.00002904739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4217318,0.006503432,0.2011756,0.003361492,0.001083656,0.0001397656,0.001459636,0.001187807,0.3633567],"genre_scores_gemma":[0.9480817,0.001959643,0.02439422,0.0005276806,0.0007189384,0.0001319244,0.0007497407,0.0003842998,0.02305188],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007698401,"threshold_uncertainty_score":0.02575368,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08852677876521689,"score_gpt":0.3393478670427975,"score_spread":0.2508210882775807,"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."}}