{"id":"W4403976098","doi":"10.55016/ojs/cdm.v19i3.68885","title":"Construction of the projective plane $PG(2,q^2)$ from the unitary group $PSU(3,q)$","year":2024,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Hrvatska Zaklada za Znanost","keywords":"Mathematics; Unitary state; Projective test; Combinatorics; Projective unitary group; Group (periodic table); Projective plane; Unitary group; Projective linear group; Plane (geometry); Pure mathematics; Projective space; Geometry; Collineation; Physics; Quantum mechanics","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":[],"consensus_categories":[],"category_scores_codex":[0.001386739,0.0002775299,0.0004168427,0.000126659,0.0004129073,0.0001492719,0.0008391937,0.000152148,0.000233129],"category_scores_gemma":[0.004090563,0.0001542139,0.0002523623,0.00110894,0.0005535107,0.0001521779,0.0004377258,0.0005900487,0.0001432431],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002213631,"about_ca_system_score_gemma":0.0001971895,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001000757,"about_ca_topic_score_gemma":0.0001035189,"domain_scores_codex":[0.9975107,0.0004018822,0.0006760315,0.0003390844,0.0006422989,0.0004299481],"domain_scores_gemma":[0.9930022,0.005261911,0.0001638733,0.001143887,0.0003263848,0.0001016811],"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":[0.00003375004,0.0001014597,0.00008454368,0.000171987,0.0002725594,0.000005799733,0.004153229,0.000005083707,0.001998454,0.9866385,0.005971943,0.000562622],"study_design_scores_gemma":[0.0003428606,0.0001016425,0.0004263698,0.000846394,0.0003080225,0.0000529067,0.003710693,0.002649667,0.00379284,0.9838405,0.00367377,0.0002543374],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6932688,0.001449178,0.2489729,0.01481436,0.001999547,0.007522722,0.01861534,0.0007955839,0.0125616],"genre_scores_gemma":[0.9796481,0.00002287703,0.01860219,0.0001248513,0.0003763725,0.0002761717,0.0001520281,0.00008654814,0.0007109031],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2863792,"threshold_uncertainty_score":0.628866,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03268176431596116,"score_gpt":0.3401276050137291,"score_spread":0.307445840697768,"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."}}