{"id":"W2063014281","doi":"10.1016/j.jalgebra.2006.03.015","title":"Permutation characters and fixed-point-free elements in permutation groups","year":2006,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Mathematics; Combinatorics; Primitive permutation group; Permutation (music); Permutation group; Fixed point; Conjecture; Character (mathematics); Permutation graph; Cyclic permutation; Group (periodic table); Automorphism; Discrete mathematics; Partial permutation; Counterexample; Symmetric 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":[],"consensus_categories":[],"category_scores_codex":[0.00148796,0.0001156053,0.0002329354,0.000392756,0.00004983623,0.00007030974,0.0002058645,0.00006605706,0.00008012916],"category_scores_gemma":[0.0007437273,0.0001027196,0.00006375762,0.0001960012,0.00005018804,0.0005355907,0.00005663427,0.0002968967,0.00001034406],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001262985,"about_ca_system_score_gemma":0.00004285869,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001004538,"about_ca_topic_score_gemma":0.00003041509,"domain_scores_codex":[0.9983466,0.0001636594,0.0006826904,0.0001142207,0.0004720459,0.0002208164],"domain_scores_gemma":[0.9987808,0.0004099304,0.0004165932,0.0001665668,0.0001632488,0.00006286027],"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":[0.001813711,0.002118275,0.1675764,0.00106719,0.0003319237,0.001109423,0.01405274,0.00007909444,0.09404685,0.6855078,0.01392282,0.01837378],"study_design_scores_gemma":[0.002873159,0.0003212247,0.2029769,0.0001508236,0.00003693776,0.0001886161,0.0008740863,0.0004891611,0.001621253,0.7902253,0.0000710606,0.0001713863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9978026,0.0000861219,0.0006104141,0.0007682854,0.00008981521,0.0001526032,0.000004405762,0.000009907618,0.0004758971],"genre_scores_gemma":[0.99642,0.00002355083,0.003159688,0.00005474493,0.0001808584,0.000003726727,0.000005213338,0.00002331596,0.0001288628],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1047175,"threshold_uncertainty_score":0.4188783,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02241002268540196,"score_gpt":0.3011650030619177,"score_spread":0.2787549803765157,"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."}}