{"id":"W1930519544","doi":"10.1090/s0002-9947-07-04237-7","title":"A Solomon descent theory for the wreath products 𝐺≀𝔖_{𝔫}","year":2007,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; Université du Québec à Montréal","funders":"Canada Research Chairs","keywords":"Wreath product; Mathematics; Descent (aeronautics); Combinatorics; Abelian group; Extension (predicate logic); Symmetric group; Algebra over a field; Product (mathematics); Pure mathematics; Geometry","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":[0.001605863,0.0009850801,0.0007990185,0.001873269,0.003403604,0.003467285,0.002108681,0.001796728,0.01619436],"category_scores_gemma":[0.00271986,0.0007046245,0.0023208,0.001278843,0.003350019,0.007756549,0.002924173,0.003588435,0.006049414],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002182604,"about_ca_system_score_gemma":0.001295496,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002329167,"about_ca_topic_score_gemma":0.001973897,"domain_scores_codex":[0.9984666,0.0003544563,0.00009178674,0.0003000739,0.0004871326,0.0002999074],"domain_scores_gemma":[0.9989206,0.0002584719,0.00008000123,0.0002221288,0.000394689,0.0001241808],"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":[0.000004464218,0.000004586151,0.00002753439,0.000008857835,0.000001995275,0.00002392679,0.00005431959,0.0001436214,0.000111483,0.9966047,0.001246348,0.001768193],"study_design_scores_gemma":[0.00000679876,0.00001456175,0.00004837939,0.00001287825,0.000004410784,0.00007824552,0.00004181664,0.002765446,0.0004269361,0.9802123,0.01637556,0.00001253339],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04244719,0.000804716,0.6416714,0.003832587,0.001381181,0.00009556171,0.0005170081,0.0007351239,0.3085153],"genre_scores_gemma":[0.5593995,0.0009665799,0.2278025,0.003178729,0.001643128,0.0003460428,0.001042883,0.001760334,0.2038603],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01619436,"threshold_uncertainty_score":0.05417556,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03474218352037207,"score_gpt":0.3263276730169603,"score_spread":0.2915854894965882,"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."}}