{"id":"W1997469155","doi":"10.1007/s00209-007-0256-7","title":"Subgroup separability in residually free groups","year":2007,"lang":"de","type":"article","venue":"Mathematische Zeitschrift","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Finitely-generated abelian group; Separable space; Pure mathematics; Type (biology); Group (periodic table); Combinatorics; Discrete mathematics; 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":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.009696592,0.001043631,0.001862009,0.001233789,0.000271793,0.0001566721,0.001845738,0.001236488,0.003668583],"category_scores_gemma":[0.006982098,0.0009995021,0.0004809051,0.002170516,0.0005745834,0.0003932093,0.001073947,0.001710635,0.003893321],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006718862,"about_ca_system_score_gemma":0.0002170567,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002518895,"about_ca_topic_score_gemma":0.000926798,"domain_scores_codex":[0.9915894,0.0005059503,0.002907112,0.001425502,0.001279903,0.002292131],"domain_scores_gemma":[0.9905558,0.004751148,0.0008849329,0.003053406,0.0001972987,0.0005573793],"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":[0.0002153198,0.002377505,0.007587124,0.001739413,0.0003235738,0.0005103569,0.007390347,0.000004977469,0.0005858057,0.9529838,0.02122378,0.005058],"study_design_scores_gemma":[0.0114266,0.001175468,0.1176108,0.001910834,0.00109733,0.0003510041,0.006095705,0.000535274,0.008157024,0.7632719,0.08413012,0.004237888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7573153,0.0154101,0.04852435,0.002677592,0.003261613,0.003006631,0.0002202431,0.0006496779,0.1689345],"genre_scores_gemma":[0.9512107,0.000255935,0.04325475,0.0003724452,0.001037185,0.00005693631,0.00004238137,0.0002124288,0.003557242],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1938954,"threshold_uncertainty_score":0.9992455,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02505631943291956,"score_gpt":0.295150775940112,"score_spread":0.2700944565071924,"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."}}