{"id":"W1988231202","doi":"10.1016/j.jalgebra.2005.05.026","title":"Rings of invariants of modular p-groups which are hypersurfaces","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Hypersurface; Invariant (physics); Group ring; Polynomial ring; Combinatorics; Pure mathematics; Modular design; Polynomial; Invariant polynomial; Ring (chemistry); Finite group; Invariant theory; Group (periodic table); Algebra over a field; Chemistry; Matrix polynomial; Mathematical analysis; Mathematical physics","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":[0.00173007,0.0009656082,0.001222229,0.0026064,0.001973969,0.004420103,0.001307423,0.0007859033,0.00635439],"category_scores_gemma":[0.002697142,0.0006140548,0.000880929,0.001566032,0.004199459,0.006237306,0.00255305,0.001538571,0.0007285363],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001263402,"about_ca_system_score_gemma":0.0005411282,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004853108,"about_ca_topic_score_gemma":0.0004390786,"domain_scores_codex":[0.9989583,0.0001857723,0.00005872672,0.0002039955,0.0002671263,0.0003260044],"domain_scores_gemma":[0.9976202,0.0005955896,0.0007044734,0.0002296793,0.0002029404,0.0006471739],"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":[0.0005986465,0.0001283968,0.00217538,0.00006484593,0.00005632129,0.000798992,0.001141486,0.001378483,0.006162778,0.9758901,0.001434225,0.01017031],"study_design_scores_gemma":[0.0002104743,0.0002707112,0.004920173,0.00002971113,0.0001058555,0.001172726,0.0007529764,0.007024847,0.005973514,0.9746963,0.004778652,0.00006399008],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9417045,0.00054511,0.01945791,0.0005989203,0.0001716245,0.00005310349,0.0002908831,0.0003207658,0.0368572],"genre_scores_gemma":[0.993112,0.0001608616,0.002402145,0.00005616419,0.000201748,0.00001824477,0.0002043844,0.00003434113,0.003810221],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00635439,"threshold_uncertainty_score":0.02125758,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02557248845959101,"score_gpt":0.2702259517317983,"score_spread":0.2446534632722072,"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."}}