{"id":"W4386203794","doi":"10.1080/00927872.2023.2248248","title":"On the normalizer of an iterated wreath product","year":2023,"lang":"en","type":"article","venue":"Communications in Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Wreath product; Centralizer and normalizer; Mathematics; Combinatorics; Permutation group; Iterated function; Symmetric group; Mathematics Subject Classification; Group (periodic table); Product (mathematics); Permutation (music); Geometry; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001927683,0.00008439125,0.0001336998,0.0002369928,0.0001471744,0.00002700784,0.001681958,0.00003676142,0.0001538181],"category_scores_gemma":[0.002003238,0.0000608252,0.00003294396,0.001338177,0.0002489989,0.00009247506,0.0004676435,0.0003255289,0.0001979691],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003113052,"about_ca_system_score_gemma":0.00003985854,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000169361,"about_ca_topic_score_gemma":0.00005411682,"domain_scores_codex":[0.9984564,0.0007508204,0.0002821135,0.0001301341,0.0001984781,0.0001820095],"domain_scores_gemma":[0.9932965,0.002747884,0.00007061683,0.003746708,0.0001106884,0.00002757956],"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":[0.00001882281,0.0002733935,0.0003718639,0.00002200072,0.00001417379,0.000001259639,0.001908979,0.000009505291,0.0005479758,0.9935194,0.001939053,0.001373594],"study_design_scores_gemma":[0.000305765,0.00008936457,0.00382955,0.0001065409,0.000008462244,0.000003310092,0.0005799301,0.006616634,0.003164003,0.9837433,0.0014255,0.0001276878],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9790562,0.00006127435,0.00001514613,0.002928078,0.00002368056,0.0004524682,0.00001562191,0.0001134189,0.01733411],"genre_scores_gemma":[0.9968933,0.0000680195,0.001970218,0.00006818594,0.000009645552,0.0001415796,0.00005049158,0.00002438606,0.0007741459],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01783713,"threshold_uncertainty_score":0.3125524,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2177772899500382,"score_gpt":0.4250623181941117,"score_spread":0.2072850282440734,"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."}}