{"id":"W2950123987","doi":"10.48550/arxiv.math/0601663","title":"Hilbert 90 for Galois cohomology","year":2006,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Galois cohomology; Mathematics; Galois group; Cohomological dimension; Galois extension; Group cohomology; Pure mathematics; Embedding problem; Galois module; Cohomology; Dimension (graph theory); Conjecture; Fundamental theorem of Galois theory; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002473092,0.000609541,0.0006520678,0.002011752,0.001845432,0.003277592,0.0007367195,0.001276464,0.0122731],"category_scores_gemma":[0.007725062,0.0003356146,0.001215413,0.001087264,0.004222046,0.00704729,0.003841493,0.002976147,0.002111478],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001688822,"about_ca_system_score_gemma":0.0006465914,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008109512,"about_ca_topic_score_gemma":0.0003459773,"domain_scores_codex":[0.9980584,0.0005005205,0.0001085835,0.0004268097,0.0004165425,0.0004890663],"domain_scores_gemma":[0.9962581,0.001801085,0.0004545926,0.0005836887,0.0004445291,0.0004579211],"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":[0.00005024611,0.00001526984,0.001401671,0.00005044238,0.0000149496,0.0001397623,0.0002782455,0.0005073559,0.0009537268,0.9897903,0.002395856,0.0044022],"study_design_scores_gemma":[0.00001581268,0.00003107579,0.001488044,0.00002635953,0.000009252244,0.000192366,0.0001997847,0.001837139,0.001120519,0.9902843,0.0047775,0.00001784715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6390598,0.004882405,0.06277716,0.01051662,0.0009505218,0.00008066531,0.001367651,0.0004230693,0.2799421],"genre_scores_gemma":[0.9903492,0.0007441422,0.002791642,0.0005019191,0.0003471868,0.00003534452,0.0004937309,0.00004064516,0.004696206],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0122731,"threshold_uncertainty_score":0.04105765,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09235942725328908,"score_gpt":0.2350829908305071,"score_spread":0.142723563577218,"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."}}