{"id":"W2059798069","doi":"10.1515/forum-2012-0005","title":"Group algebras whose symmetric elements are Lie metabelian","year":2012,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Lakehead University","funders":"","keywords":"Mathematics; Involution (esoterism); Locally nilpotent; Bounded function; Pure mathematics; Lie group; Lie algebra; Group ring; Nilpotent group; Nilpotent; Combinatorics; Algebraic number; Metabelian group; Group (periodic table); Abelian group; 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":[0.0006036006,0.0003411794,0.0004566316,0.0009122055,0.001211998,0.001452473,0.0003615801,0.0004170046,0.005210302],"category_scores_gemma":[0.001024971,0.0003178753,0.0005277357,0.0004687457,0.001595318,0.002357289,0.00106647,0.0004896202,0.001076745],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008028486,"about_ca_system_score_gemma":0.0005502402,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000558535,"about_ca_topic_score_gemma":0.0005871537,"domain_scores_codex":[0.9993206,0.0001572006,0.00004183552,0.0001258908,0.0001999688,0.0001545024],"domain_scores_gemma":[0.9995489,0.00008232844,0.00009351107,0.00006500763,0.0001077966,0.0001024592],"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":[0.0000856058,0.00003606592,0.0005743196,0.00003757967,0.00001625552,0.0003247131,0.0005010408,0.0004642174,0.004139879,0.9863756,0.001304595,0.006139955],"study_design_scores_gemma":[0.00004666208,0.00008365767,0.000791518,0.00001592907,0.0000129555,0.0005535072,0.0003695646,0.00326323,0.004246245,0.9809018,0.009693347,0.00002151933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8629734,0.0006913468,0.04634869,0.0008635499,0.0002682841,0.00008365101,0.0003107019,0.0004319941,0.08802833],"genre_scores_gemma":[0.9834208,0.0001927954,0.005673117,0.0001874913,0.0001508206,0.00003363606,0.0001827015,0.00002907013,0.01012956],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005210302,"threshold_uncertainty_score":0.01743025,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04703552588853684,"score_gpt":0.3191410757691325,"score_spread":0.2721055498805957,"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."}}