{"id":"W2060417754","doi":"10.1016/j.jalgebra.2005.10.001","title":"Some metric properties of automorphisms of groups","year":2005,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Automorphism; Pure mathematics; Metric (unit); Automorphisms of the symmetric and alternating groups; Algebra over a field","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":[0.0007448263,0.0001294669,0.000646117,0.0009169293,0.00002584848,0.000006668957,0.0003353707,0.0001026918,0.0002747494],"category_scores_gemma":[0.001060489,0.00009006088,0.0002469134,0.0007167447,0.0001535646,0.0002508797,0.00005990973,0.0002245471,0.00001305934],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004207733,"about_ca_system_score_gemma":0.0001079699,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000722511,"about_ca_topic_score_gemma":0.000001533909,"domain_scores_codex":[0.9981117,0.00007035351,0.001060093,0.00008616132,0.0004709883,0.0002007589],"domain_scores_gemma":[0.9979037,0.0002623404,0.001231474,0.0001990383,0.0003172316,0.00008621657],"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":[0.0004078695,0.003538919,0.005225482,0.001292767,0.001641524,0.00008147737,0.004764814,0.0001530718,0.06842055,0.8326222,0.02952472,0.05232664],"study_design_scores_gemma":[0.00433086,0.002577275,0.00992183,0.0005001834,0.0006537099,0.0009724309,0.001197186,0.0002184429,0.381156,0.5938363,0.00415545,0.0004803913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9930231,0.004601658,0.0006874224,0.001067007,0.0002543557,0.00008236784,0.000002348215,0.0000113178,0.000270409],"genre_scores_gemma":[0.9869242,0.0001727863,0.01210119,0.00006891571,0.0003857079,7.923544e-7,1.560034e-7,0.00001692636,0.0003293258],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3127354,"threshold_uncertainty_score":0.3672576,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04013903113986162,"score_gpt":0.2710431850313478,"score_spread":0.2309041538914862,"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."}}