{"id":"W2727894299","doi":"10.1142/s021819671950019x","title":"Low-complexity computations for nilpotent subgroup problems","year":2019,"lang":"en","type":"preprint","venue":"International Journal of Algebra and Computation","topic":"semigroups and automata theory","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Coset; Mathematics; Nilpotent; Centralizer and normalizer; Nilpotent group; Characteristic subgroup; Fitting subgroup; Bounded function; Conjugacy class; Commutator subgroup; Discrete mathematics; Computation; Combinatorics; Normal subgroup; Group (periodic table); Algorithm; p-group; Symmetric group; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.0006059749,0.0002493041,0.0003965065,0.0004045425,0.00008320736,0.0006495608,0.001234436,0.0001452641,0.000005654553],"category_scores_gemma":[0.00005439731,0.0002318271,0.0002675538,0.00009379628,0.00007151989,0.0005303863,0.0006211501,0.0003716112,0.000006952076],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001252689,"about_ca_system_score_gemma":0.0002348444,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001263168,"about_ca_topic_score_gemma":0.000002633622,"domain_scores_codex":[0.9978707,0.00009330358,0.0008302609,0.0003739631,0.0006445998,0.0001871408],"domain_scores_gemma":[0.9969228,0.0003440206,0.00117972,0.0001946598,0.001256154,0.0001026816],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000173487,0.0007709504,0.000638032,0.0006815814,0.00104114,0.00005785025,0.003856604,0.3754044,0.0006493467,0.314135,0.003514845,0.2990769],"study_design_scores_gemma":[0.0009766722,0.00017296,0.004142043,0.0004163824,0.00003295161,0.000156974,0.00004532498,0.5291997,0.0001964455,0.4641439,0.0002783027,0.0002383318],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1408266,0.0003851314,0.8519229,0.002366987,0.00398118,0.0003582235,0.00003292938,0.0000509974,0.00007507743],"genre_scores_gemma":[0.9174332,0.00009343681,0.08139892,0.0004261243,0.0004998387,0.00001281696,0.0000895078,0.00001844677,0.00002768188],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7766066,"threshold_uncertainty_score":0.9453636,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0311483277074883,"score_gpt":0.2916422187674985,"score_spread":0.2604938910600102,"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."}}