{"id":"W3216536575","doi":"10.4171/dm/621","title":"Relative Property (T) for Nilpotent Subgroups","year":2018,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Nilpotent; Property (philosophy); Locally nilpotent; Pure mathematics; Nilpotent group","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001658202,0.0002957919,0.0004362685,0.000143832,0.0003272273,0.0001361176,0.0005570934,0.0001214908,0.002201051],"category_scores_gemma":[0.001615458,0.0001882902,0.0001898955,0.0002660049,0.0003798265,0.0004396049,0.0002369608,0.0001966603,0.001265723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001703883,"about_ca_system_score_gemma":0.00005513277,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005972527,"about_ca_topic_score_gemma":0.000008117781,"domain_scores_codex":[0.9975864,0.000148829,0.0005840242,0.0004639493,0.0005508976,0.0006658479],"domain_scores_gemma":[0.9970859,0.001414667,0.0001882111,0.0008553682,0.0002821049,0.0001737194],"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":[0.0001723025,0.0003979322,0.00003075985,0.0004403154,0.0001582081,0.000004780693,0.003191423,3.461128e-8,0.001998676,0.9611017,0.03115381,0.001350119],"study_design_scores_gemma":[0.0009928164,0.000574766,0.00001015915,0.0001449893,0.00007575831,0.0000265774,0.0005095685,0.0008117248,0.009632952,0.970587,0.01632774,0.0003060127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2773313,0.0001152704,0.3120131,0.006413182,0.0009137818,0.01311722,0.0001645359,0.001360481,0.3885711],"genre_scores_gemma":[0.6098579,0.0000112456,0.3035971,0.0004257055,0.0007695415,0.001516114,0.00003354904,0.0002766047,0.08351223],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.3325266,"threshold_uncertainty_score":0.9995119,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1060121160936521,"score_gpt":0.3853818944556341,"score_spread":0.2793697783619821,"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."}}