{"id":"W2962693339","doi":"10.4171/lem/56-1-2","title":"A Wreath Product Approach to Classical Subgroup Theorems","year":2010,"lang":"fr","type":"article","venue":"L’Enseignement Mathématique","topic":"semigroups and automata theory","field":"Computer Science","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Wreath product; Mathematics; Product (mathematics); Combinatorics; Geometry","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":[0.001476023,0.0009005904,0.0005287608,0.001510306,0.000919329,0.001682445,0.001220834,0.0005579152,0.01265978],"category_scores_gemma":[0.002023832,0.0003521051,0.0009862422,0.0007893641,0.002928004,0.007516227,0.003151432,0.002075928,0.001755685],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007014016,"about_ca_system_score_gemma":0.0003480971,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005036869,"about_ca_topic_score_gemma":0.0003656585,"domain_scores_codex":[0.999359,0.0001225077,0.000037512,0.0001475045,0.0002394401,0.00009400963],"domain_scores_gemma":[0.9991393,0.0003644623,0.00007248691,0.0001816447,0.0001736547,0.00006835197],"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":[0.000009985501,0.00001481574,0.00009948531,0.00005244238,0.00000687004,0.00009009529,0.0002158557,0.0003586073,0.001395481,0.9901283,0.0006384154,0.006989623],"study_design_scores_gemma":[0.00001349703,0.00004514636,0.000194931,0.00001637468,0.00001478305,0.0001711666,0.00007458989,0.003083605,0.003028701,0.9788998,0.01444217,0.00001516613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07844014,0.001774872,0.8013003,0.001807788,0.0005862585,0.00009210849,0.0002773627,0.0009718423,0.1147493],"genre_scores_gemma":[0.8237723,0.002336353,0.1358593,0.0007895458,0.001007745,0.0001932829,0.0003196857,0.0004110034,0.03531073],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01265978,"threshold_uncertainty_score":0.04235119,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01563589759388673,"score_gpt":0.2381202000603462,"score_spread":0.2224843024664595,"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."}}