{"id":"W3183346772","doi":"10.1515/jgth-2021-0094","title":"An uncountable family of finitely generated residually finite groups","year":2021,"lang":"en","type":"article","venue":"Journal of Group Theory","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Uncountable set; Mathematics; Combinatorics; Finitely-generated abelian group; Isomorphism (crystallography); Rank (graph theory); Group (periodic table); Crystallography; Physics; Chemistry","routes":{"ca_aff":true,"ca_fund":true,"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"],"consensus_categories":[],"category_scores_codex":[0.00821205,0.0003183589,0.0008855798,0.0004808168,0.0001475251,0.00008604499,0.0008830815,0.0002475339,0.0008101675],"category_scores_gemma":[0.003497819,0.0002736429,0.000341163,0.0009324214,0.00026254,0.0006622283,0.0001684334,0.0008690011,0.00003042287],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001268924,"about_ca_system_score_gemma":0.0005182368,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006623703,"about_ca_topic_score_gemma":0.0000209334,"domain_scores_codex":[0.9942679,0.002146029,0.001518445,0.0003124173,0.001206269,0.0005489384],"domain_scores_gemma":[0.9918026,0.004341559,0.001006989,0.0008955784,0.001657633,0.0002956853],"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":[0.002452146,0.001849644,0.0008640111,0.0003911231,0.0006212435,0.001224486,0.002287153,0.0003600406,0.3428196,0.6385967,0.004774606,0.003759247],"study_design_scores_gemma":[0.002413627,0.001546709,0.001501128,0.0003539825,0.0002141041,0.0004211562,0.003797558,0.0003870785,0.03207342,0.9550158,0.001852023,0.0004234143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9694853,0.001990804,0.02074616,0.00009046774,0.0004866447,0.0001665854,0.00006004207,0.0000439779,0.00693006],"genre_scores_gemma":[0.9722616,0.0003519259,0.02505427,0.0003347473,0.0005575676,0.000005365945,0.00002279114,0.0001206586,0.001291076],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3164191,"threshold_uncertainty_score":0.9999716,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06964944425248606,"score_gpt":0.3427744548610873,"score_spread":0.2731250106086012,"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."}}