Global class field theory

URI: https://gptkb.org/entity/Global_class_field_theory

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:appliesTo	Function fields Number fields
gptkbp:concerns	Abelian extensions of global fields
gptkbp:field	gptkb:Mathematics
gptkbp:hasSubfield	gptkb:Algebraic_number_theory
gptkbp:historicalPeriod	gptkb:Claude_Chevalley gptkb:Emil_Artin gptkb:Helmut_Hasse
https://www.w3.org/2000/01/rdf-schema#label	Global class field theory
gptkbp:relatedConcept	gptkb:Dirichlet_characters gptkb:Chebotarev_density_theorem gptkb:Non-abelian_class_field_theory gptkb:Ray_class_field gptkb:Langlands_program gptkb:Tate_cohomology gptkb:Artin_map gptkb:Hilbert_class_field gptkb:Kronecker–Weber_theorem gptkb:Cyclotomic_fields L-functions Reciprocity law Abelian Galois group Class group
gptkbp:relatedTo	gptkb:Local_class_field_theory
gptkbp:result	Classification of abelian extensions of global fields
gptkbp:studies	Galois groups of abelian extensions
gptkbp:uses	gptkb:Artin_reciprocity_law gptkb:Ideles Adeles Class formations
gptkbp:bfsParent	gptkb:Class_field_theory
gptkbp:bfsLayer	6