{"id":"W1997046888","doi":"10.1142/s0218196707003913","title":"GENERIC COMPLEXITY OF THE CONJUGACY PROBLEM IN HNN-EXTENSIONS AND ALGORITHMIC STRATIFICATION OF MILLER'S GROUPS","year":2007,"lang":"en","type":"article","venue":"International Journal of Algebra and Computation","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Undecidable problem; Conjugacy class; Conjugacy problem; Mathematics; Decidability; Miller; Stratification (seeds); Group (periodic table); Decision problem; Combinatorics; Discrete mathematics; Algorithm","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":[0.002204119,0.0005896554,0.0009432233,0.0007535937,0.00202348,0.003769399,0.001953566,0.001277564,0.007626921],"category_scores_gemma":[0.00693142,0.0004753223,0.00187992,0.001334898,0.002604056,0.01093432,0.003218056,0.002602747,0.0004846354],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004405322,"about_ca_system_score_gemma":0.002021355,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003475766,"about_ca_topic_score_gemma":0.004287605,"domain_scores_codex":[0.9981101,0.0003978487,0.0001638659,0.0005411169,0.0003433106,0.0004438449],"domain_scores_gemma":[0.994378,0.003561444,0.000529577,0.0008436427,0.0002737941,0.0004134167],"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":[0.001459954,0.0005328173,0.01530988,0.0009496865,0.0001528772,0.0009120668,0.002919198,0.08326325,0.01363068,0.8214265,0.008082734,0.05136041],"study_design_scores_gemma":[0.0001192043,0.00006859232,0.002056829,0.00003676665,0.00006310505,0.000282109,0.0005274402,0.0876812,0.00581315,0.8984867,0.004818349,0.00004664053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9026296,0.0003588007,0.07504315,0.002978139,0.00005399364,0.0001801871,0.001011838,0.0006008662,0.01714336],"genre_scores_gemma":[0.9612658,0.0002385021,0.03029381,0.000222497,0.0001020229,0.000149482,0.001955736,0.0001089682,0.005663285],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007626921,"threshold_uncertainty_score":0.03196299,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04876440810557002,"score_gpt":0.3200468513484381,"score_spread":0.271282443242868,"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."}}