{"id":"W2060387944","doi":"10.1081/agb-120022220","title":"Some Results on Hypercentral Units in Integral Group Rings","year":2003,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Memorial University of Newfoundland; Brock University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Group (periodic table); Group ring; Pure mathematics; Algebra over a field; Chemistry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002028482,0.0001673906,0.0002376593,0.0004679841,0.000123451,0.00004543058,0.001498549,0.0001267444,0.00004022381],"category_scores_gemma":[0.005364237,0.0001678054,0.0000414308,0.001140943,0.0002652759,0.0001957988,0.0003381721,0.001024581,0.0001552381],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002827831,"about_ca_system_score_gemma":0.00007373687,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006109721,"about_ca_topic_score_gemma":0.0005862988,"domain_scores_codex":[0.9974627,0.001067537,0.0005520002,0.0002501328,0.0002338445,0.0004337195],"domain_scores_gemma":[0.9945371,0.002553212,0.0000829294,0.002678018,0.00007026376,0.00007850481],"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":[0.00005683666,0.000495665,0.001911392,0.00001541868,0.000006984851,0.000005245538,0.001555399,0.000003422672,0.0001062757,0.9943677,0.0004952371,0.000980412],"study_design_scores_gemma":[0.002145907,0.0001220952,0.00836472,0.0003031737,0.000006207589,0.000009865332,0.001340841,0.0005458107,0.000382947,0.9784533,0.008026213,0.0002988515],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9507312,0.0003856485,0.00003084224,0.001269081,0.00008589543,0.000521725,0.00002104855,0.00009683349,0.04685777],"genre_scores_gemma":[0.9893461,0.0003330039,0.009495267,0.0001524237,0.00001643022,0.00009289754,0.00004168912,0.0000368903,0.000485281],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04637248,"threshold_uncertainty_score":0.6842908,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1770830507396108,"score_gpt":0.3810512265713081,"score_spread":0.2039681758316973,"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."}}