{"id":"W2094960014","doi":"10.1090/s0002-9939-2011-10968-7","title":"Construction of central units in integral group rings of finite groups","year":2011,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Vrije Universiteit Brussel","keywords":"Annotation; Algorithm; Abelian group; Semantics (computer science); Type (biology); Group (periodic table); Computer science; Artificial intelligence; Mathematics; Combinatorics; Physics; Biology; Programming language; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001240099,0.0006852731,0.0007518088,0.001373144,0.001938325,0.002800386,0.001311191,0.0006943773,0.009051426],"category_scores_gemma":[0.001972535,0.0004770781,0.001017388,0.0007582447,0.003657079,0.00457921,0.003946649,0.002376052,0.002608848],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009972688,"about_ca_system_score_gemma":0.0005196787,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003361489,"about_ca_topic_score_gemma":0.0003333465,"domain_scores_codex":[0.9987475,0.0003325632,0.00007562747,0.0002097714,0.0003238152,0.0003107143],"domain_scores_gemma":[0.9990726,0.0002257038,0.0001028856,0.0002206028,0.0001606641,0.0002175457],"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":[0.0000759884,0.00003862512,0.0002971723,0.0000699462,0.00001394979,0.0002380246,0.0009507264,0.0004042202,0.004599544,0.9779995,0.001225562,0.01408671],"study_design_scores_gemma":[0.00009890891,0.000210242,0.0006499029,0.00006119172,0.00006259011,0.0008622099,0.00104973,0.005963147,0.04730379,0.8878967,0.05576017,0.00008148697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3419683,0.002421592,0.5247908,0.000997557,0.001329236,0.0002648926,0.0003133757,0.002530798,0.1253833],"genre_scores_gemma":[0.8703196,0.0005048367,0.09832454,0.0002372135,0.0002979255,0.0001529979,0.0002314197,0.0006007226,0.02933073],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009051426,"threshold_uncertainty_score":0.03027999,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05867120873526117,"score_gpt":0.2857421497965856,"score_spread":0.2270709410613245,"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."}}