{"id":"W2015696732","doi":"10.1006/jabr.2001.9134","title":"Separability Properties of Certain Tree Products of Groups","year":2002,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Separable space; Coset; Conjugacy class; Torus; Tree (set theory); Pure mathematics; Combinatorics; 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":[],"consensus_categories":[],"category_scores_codex":[0.0007880155,0.00013025,0.0006135117,0.000279563,0.00002638439,0.000005699607,0.000289481,0.00008748976,0.0003225086],"category_scores_gemma":[0.002602136,0.00008894339,0.0001834082,0.000489401,0.0002140329,0.0001430843,0.0000485133,0.0002134923,0.000006135258],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003075866,"about_ca_system_score_gemma":0.00005257211,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008128644,"about_ca_topic_score_gemma":0.000003740982,"domain_scores_codex":[0.9981707,0.0001274375,0.0009980258,0.0001194812,0.0003892249,0.0001950694],"domain_scores_gemma":[0.9979402,0.0002241601,0.0009910626,0.0003002616,0.0004755258,0.00006873114],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.001891274,0.01989625,0.07397605,0.01255062,0.00366603,0.0002581307,0.0478054,0.00009050252,0.2587906,0.3600001,0.09280556,0.1282695],"study_design_scores_gemma":[0.005236791,0.00475207,0.02949405,0.0008040979,0.0007083653,0.001109832,0.003853792,0.0002703713,0.4800514,0.469495,0.003430025,0.0007942462],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9957693,0.001425165,0.0001450538,0.001289922,0.0001944105,0.0001307147,0.000001892488,0.000008326317,0.001035227],"genre_scores_gemma":[0.996033,0.0000582194,0.00301806,0.00002336749,0.0001428172,0.000001125431,1.177461e-7,0.00001329219,0.0007100741],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2212608,"threshold_uncertainty_score":0.3627006,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07605246869758418,"score_gpt":0.2691430127519998,"score_spread":0.1930905440544156,"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."}}