{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002087181,0.0007450033,0.0006880939,0.0002557578,0.0004245365,0.0009312415,0.00209141,0.0003719282,0.0005127274],"category_scores_gemma":[0.0002375086,0.0006773024,0.0002823876,0.0009195484,0.0003744758,0.0008027068,0.001003883,0.00114167,0.001305514],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001555557,"about_ca_system_score_gemma":0.0003494229,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001425052,"about_ca_topic_score_gemma":0.00009274019,"domain_scores_codex":[0.9948782,0.0003965776,0.0008700445,0.001596694,0.000886171,0.001372319],"domain_scores_gemma":[0.9961776,0.0002117447,0.0002758706,0.002431929,0.0002250516,0.0006778406],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00002160753,0.001295293,0.00003728413,0.0002271343,0.0000646012,0.00005619448,0.01027078,0.00004141755,0.0152556,0.8967001,0.04231074,0.03371925],"study_design_scores_gemma":[0.00198538,0.001116868,0.008576375,0.0006344374,0.0001945242,0.001502793,0.001138905,0.168552,0.02481104,0.2690019,0.5190149,0.003470918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1752295,0.001218514,0.5930287,0.02987027,0.007483863,0.003049953,0.00006610881,0.0009997397,0.1890534],"genre_scores_gemma":[0.7700941,0.00005713543,0.2049907,0.00426324,0.00159301,0.0004355701,0.00003444357,0.0001181393,0.01841367],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6276982,"threshold_uncertainty_score":0.9995678,"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."}}