{"id":"W2008605775","doi":"10.1093/qmath/ham011","title":"INVARIANT FIELDS AND LOCALIZED INVARIANT RINGS OF p-GROUPS","year":2007,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Invariant (physics); Invariant polynomial; Mathematics; Finite type invariant; Pure mathematics; Polynomial ring; Subring; Covariant transformation; Ring (chemistry); Polynomial; Mathematical analysis; Mathematical physics","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":[0.0005124721,0.0003327828,0.0002961953,0.00117858,0.000749685,0.001252058,0.0004465592,0.0002414919,0.002286955],"category_scores_gemma":[0.001098336,0.0001772545,0.0003600155,0.0006289755,0.002750604,0.002579753,0.001591049,0.0008265065,0.0003950813],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006619981,"about_ca_system_score_gemma":0.0002719966,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003436925,"about_ca_topic_score_gemma":0.0001909375,"domain_scores_codex":[0.9996812,0.00008616885,0.00001079484,0.00007745068,0.00006302234,0.00008123149],"domain_scores_gemma":[0.9993827,0.0001595407,0.0001888247,0.00007901349,0.00005614706,0.0001337602],"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":[0.00007587169,0.00002975091,0.0006630499,0.00004081352,0.0000107041,0.000253675,0.0007046159,0.001412784,0.005334841,0.981941,0.0005529526,0.00898004],"study_design_scores_gemma":[0.00006008677,0.0001835232,0.002943345,0.00001943788,0.00003210669,0.0006731457,0.0005116699,0.007737072,0.008787289,0.9724266,0.006596693,0.0000290791],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8928055,0.001360511,0.06242768,0.0005902904,0.00007624845,0.00002730605,0.0001000679,0.0001769828,0.04243539],"genre_scores_gemma":[0.9930093,0.0003392211,0.003364737,0.0000421117,0.000101222,0.00001230041,0.00004685975,0.00001367531,0.003070585],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002286955,"threshold_uncertainty_score":0.007650554,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04854681614246996,"score_gpt":0.3209647635540711,"score_spread":0.2724179474116011,"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."}}