{"id":"W2115644858","doi":"10.1112/jlms/jdu056","title":"Pseudo-reflection groups and essential dimension","year":2014,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Dimension (graph theory); Dimension theory (algebra); Prime (order theory); Complex dimension; Simple (philosophy); Effective dimension; Inductive dimension; Dimension function","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":[0.003232282,0.0001640905,0.000400685,0.00003671957,0.00023981,0.00008104057,0.0003552197,0.0001453655,0.0001224527],"category_scores_gemma":[0.001730289,0.00009333786,0.000455057,0.0002105686,0.0002406142,0.0001636668,0.0002385965,0.0006216581,0.00001999719],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007764279,"about_ca_system_score_gemma":0.00002816015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.463756e-7,"about_ca_topic_score_gemma":6.73339e-7,"domain_scores_codex":[0.9978557,0.0003614041,0.0005961886,0.0001382352,0.0007690968,0.0002793688],"domain_scores_gemma":[0.9973241,0.001584186,0.0004275067,0.0003375322,0.0001874143,0.0001392594],"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":[0.0002813649,0.001021403,0.0008611617,0.001390481,0.0004782488,0.000007190787,0.005673946,0.00002042627,0.1029348,0.8554346,0.02839705,0.003499359],"study_design_scores_gemma":[0.0008828987,0.0001745125,0.0002953335,0.0001952196,0.00012595,0.000349846,0.0002309053,0.006175223,0.005096823,0.9859473,0.0003983401,0.0001276644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9526263,0.00004546596,0.04409443,0.001820836,0.0002447707,0.0001944688,9.007915e-7,0.00002508215,0.0009477537],"genre_scores_gemma":[0.9619296,0.00003608307,0.03663931,0.0002249077,0.0004614998,0.000003319278,1.860994e-7,0.00004070258,0.0006644286],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1305127,"threshold_uncertainty_score":0.3806207,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03124658799122557,"score_gpt":0.3223967432968357,"score_spread":0.2911501553056101,"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."}}