{"id":"W2327507350","doi":"10.4153/cmb-2006-035-8","title":"Affine Completeness of Generalised Dihedral Groups","year":2006,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Affine transformation; Dihedral group; Affine hull; Unary operation; Completeness (order theory); Affine group; Affine combination; Affine coordinate system; Pure mathematics; Nilpotent; Locally nilpotent; Dihedral angle; Affine geometry of curves; Affine plane (incidence geometry); Discrete mathematics; Combinatorics; Nilpotent group; Group (periodic table); Affine space; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0009098866,0.0002686128,0.000598584,0.0003002473,0.0001240039,0.00005242004,0.0005497521,0.0001679939,0.02894714],"category_scores_gemma":[0.0008911714,0.000244933,0.0001740754,0.0003228075,0.0003376402,0.00003263873,0.00008127463,0.0002471065,0.002967441],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001847003,"about_ca_system_score_gemma":0.0001687697,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00235103,"about_ca_topic_score_gemma":0.003692933,"domain_scores_codex":[0.997481,0.0001892782,0.0007299064,0.0003191132,0.0004862784,0.0007944194],"domain_scores_gemma":[0.9975192,0.00103392,0.0001318498,0.0006773207,0.0001804921,0.0004572238],"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":[0.00001891504,0.0001437776,0.0001187414,0.0004012008,0.000023468,0.00006523826,0.00008850744,0.000006554119,0.001323424,0.9586215,0.03903614,0.0001525475],"study_design_scores_gemma":[0.0007559541,0.00007129504,0.0004774201,0.0001156429,0.00004703573,0.0000477886,0.00008860896,0.0005564467,0.001357065,0.9797615,0.01635358,0.0003676136],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8864191,0.00006138861,0.00372292,0.003782664,0.00008176215,0.0006682787,0.0001525907,0.0001126865,0.1049986],"genre_scores_gemma":[0.9813404,0.000001185714,0.0121785,0.000193948,0.0002220195,0.00005207435,0.00004184294,0.0000837944,0.005886252],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09911237,"threshold_uncertainty_score":0.998808,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04601876760393583,"score_gpt":0.2803474570511639,"score_spread":0.234328689447228,"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."}}