{"id":"W2092066843","doi":"10.1016/j.crma.2004.07.015","title":"Isotropic nonarchimedean S-arithmetic groups are not left orderable","year":2004,"lang":"en","type":"article","venue":"Comptes Rendus Mathématique","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"National Science Foundation","keywords":"Mathematics; Combinatorics; Algebraic group; Algebraic number field; Algebraic number; Ring of integers; Algebra over a field; Pure mathematics; Mathematical analysis","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":[0.0008044216,0.0007545588,0.0006011328,0.001108375,0.001960379,0.00313517,0.0007133451,0.0005167981,0.01243912],"category_scores_gemma":[0.001650174,0.0005156875,0.0008870782,0.0007966616,0.004209487,0.003676999,0.002434344,0.001421805,0.00238143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001623065,"about_ca_system_score_gemma":0.001322632,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001613351,"about_ca_topic_score_gemma":0.002026225,"domain_scores_codex":[0.9987748,0.0001668357,0.00008399272,0.0001897953,0.0003326021,0.0004520331],"domain_scores_gemma":[0.9980627,0.0005079544,0.0004285559,0.0003656552,0.0002680883,0.0003671504],"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":[0.0002593494,0.00006043338,0.001202939,0.00006924665,0.00002030909,0.0002915718,0.0007104611,0.0006909578,0.003022451,0.9829216,0.002030993,0.008719685],"study_design_scores_gemma":[0.0001280826,0.0001477589,0.00229975,0.00003249189,0.00003664974,0.0003185826,0.0009995913,0.003672887,0.008475492,0.9667873,0.01706084,0.00004071632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7668824,0.0004580113,0.03240858,0.001497847,0.0002507544,0.00007600847,0.0004188119,0.0006495532,0.197358],"genre_scores_gemma":[0.9690641,0.0002215774,0.003832327,0.0002130604,0.0001418541,0.00004615979,0.0005651554,0.00006995459,0.02584584],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01243912,"threshold_uncertainty_score":0.04161304,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03960527566401923,"score_gpt":0.3049362357004819,"score_spread":0.2653309600364627,"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."}}