{"id":"W1991400804","doi":"10.1017/s0004972711002279","title":"A NOTE ON NIELSEN EQUIVALENCE IN FINITELY GENERATED ABELIAN GROUPS","year":2011,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"York University","keywords":"Mathematics; Abelian group; Rank of an abelian group; Elementary abelian group; Non-abelian group; Combinatorics; G-module; Rank (graph theory); Free abelian group; Equivalence (formal languages); Automorphism; Graph; Pure mathematics; Discrete mathematics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008419647,0.0002550953,0.0004326249,0.00002695893,0.0001102672,0.000007763478,0.0006461795,0.0002867774,0.00282058],"category_scores_gemma":[0.0006542431,0.0001734988,0.0003521561,0.0002098665,0.0005548546,0.00002346023,0.0001587035,0.0005055483,0.0002766243],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005586069,"about_ca_system_score_gemma":0.00002413015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001508844,"about_ca_topic_score_gemma":0.000002583871,"domain_scores_codex":[0.9981706,0.0002110955,0.0005960917,0.0002973608,0.0002783033,0.0004465457],"domain_scores_gemma":[0.9981737,0.0007770964,0.000243969,0.0006680824,0.00004858659,0.00008854859],"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":[0.0001466555,0.001418687,0.0005490929,0.0006930978,0.0001133595,0.00001611014,0.009738634,0.00002527676,0.001369966,0.9575419,0.0279862,0.0004010139],"study_design_scores_gemma":[0.0006234249,0.0001140101,0.0009321124,0.0004002278,0.00005019404,0.00001533866,0.0006055227,0.00008385473,0.01232215,0.9831413,0.001448281,0.0002635528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9503494,0.00002359634,0.005716311,0.006989369,0.0003182413,0.001175918,0.00004805078,0.0001922703,0.03518686],"genre_scores_gemma":[0.9101114,0.00001078184,0.07826226,0.0007182834,0.00005506447,0.00003678552,0.00000175855,0.00004376587,0.01075994],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07254595,"threshold_uncertainty_score":0.998091,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09031598133966928,"score_gpt":0.3183979921316468,"score_spread":0.2280820107919775,"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."}}