{"id":"W2150467819","doi":"10.1515/jgth-2016-0502","title":"Conjugacy distinguished subgroups","year":2016,"lang":"en","type":"preprint","venue":"Journal of Group Theory","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Conjugacy class; Mathematics; Combinatorics; Quotient; Group (periodic table); Finitely-generated abelian group; Normal subgroup; Quotient group; Class (philosophy); Cyclic group; Physics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003642546,0.0003518183,0.001050619,0.0005227277,0.00007631722,0.00005422729,0.0008984796,0.000433039,0.001195529],"category_scores_gemma":[0.006525611,0.0002280494,0.0005877365,0.0001477907,0.0002626421,0.00008306847,0.0005824554,0.001171945,0.00003913731],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001382382,"about_ca_system_score_gemma":0.0001540334,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002256103,"about_ca_topic_score_gemma":0.000001191988,"domain_scores_codex":[0.9971485,0.000526019,0.001209193,0.0002629051,0.0004703342,0.0003831192],"domain_scores_gemma":[0.9933255,0.003275007,0.002264841,0.0005675174,0.000369486,0.0001976742],"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":[0.0002302557,0.0002346909,0.0007999629,0.0002689928,0.0004531016,0.0002429998,0.0004214337,3.704118e-7,0.0001600459,0.9798743,0.01000635,0.007307511],"study_design_scores_gemma":[0.0008595774,0.0001758636,0.0009846388,0.0004368661,0.0002339518,0.0003289808,0.0001971167,0.000002088073,0.0000627248,0.9926025,0.00384852,0.0002671956],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6644327,0.004126044,0.2647382,0.002068589,0.0121117,0.0005588436,0.00007439226,0.000152176,0.05173739],"genre_scores_gemma":[0.9879562,0.0001144512,0.006637139,0.0001651406,0.00264187,0.000004773145,0.000002775299,0.00006695332,0.002410666],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3235236,"threshold_uncertainty_score":0.9997175,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03581878191108102,"score_gpt":0.3124548961057769,"score_spread":0.2766361141946959,"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."}}