{"id":"W1992829922","doi":"10.1016/j.jpaa.2006.03.025","title":"The isomorphism problem for finitely generated fully residually free groups","year":2006,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University; Carleton University","funders":"","keywords":"Mathematics; Isomorphism (crystallography); Automorphism; Finitely-generated abelian group; Group isomorphism; Decidability; Invariant (physics); Group (periodic table); Pure mathematics; Combinatorics; Discrete mathematics; Outer automorphism group; Automorphism group; Crystallography; Crystal structure","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":[0.002042412,0.0006244477,0.001428657,0.001355229,0.002465589,0.00478034,0.001778691,0.00310438,0.007352766],"category_scores_gemma":[0.005622201,0.0006979786,0.000992449,0.001233497,0.005688515,0.01640528,0.004740336,0.005221332,0.000754341],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001266574,"about_ca_system_score_gemma":0.0009000954,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009590737,"about_ca_topic_score_gemma":0.0005864674,"domain_scores_codex":[0.9983973,0.000486925,0.00008180978,0.0003597935,0.000305785,0.0003684895],"domain_scores_gemma":[0.995492,0.003024124,0.0002974232,0.000528715,0.0002613635,0.0003964397],"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":[0.00008728739,0.0000556842,0.0003931741,0.00004717841,0.00001362732,0.0001306715,0.0005980065,0.0009788286,0.0005818291,0.9922307,0.0007351279,0.004147826],"study_design_scores_gemma":[0.00001877589,0.00001186932,0.0001065272,0.000004678705,0.000006854158,0.00006292677,0.0002173455,0.001886384,0.0003140281,0.9965513,0.000811611,0.000007728298],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8171793,0.001246998,0.1038148,0.008175771,0.0002232441,0.00005791584,0.0003167996,0.0003827089,0.06860252],"genre_scores_gemma":[0.9787885,0.0004190176,0.007656238,0.0003279013,0.0002294374,0.00003336155,0.0004758427,0.00006858858,0.01200123],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007352766,"threshold_uncertainty_score":0.02459747,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02031323657668912,"score_gpt":0.2465714614111869,"score_spread":0.2262582248344978,"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."}}