gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:concerns
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Abelian extensions of local fields
Abelian extensions of number fields
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gptkbp:developedBy
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Early 20th century
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gptkbp:field
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gptkb:Mathematics
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gptkbp:hasApplication
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gptkb:Algebraic_geometry
Cryptography
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gptkbp:hasSubfield
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gptkb:Algebraic_number_theory
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https://www.w3.org/2000/01/rdf-schema#label
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Class field theory
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gptkbp:influenced
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gptkb:Non-abelian_class_field_theory
gptkb:Langlands_program
Modern algebraic number theory
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gptkbp:notablePerson
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gptkb:Emil_Artin
gptkb:Helmut_Hasse
gptkb:Kurt_Hensel
gptkb:Teiji_Takagi
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gptkbp:publishedIn
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Mathematical journals
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gptkbp:relatedConcept
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gptkb:Global_class_field_theory
gptkb:Idèle_class_group
gptkb:Local_class_field_theory
gptkb:Ray_class_field
gptkb:Takagi_existence_theorem
gptkb:Artin_reciprocity_law
gptkb:Hilbert_class_field
gptkb:Kronecker–Weber_theorem
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gptkbp:result
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Classification of abelian extensions of global fields
Classification of abelian extensions of local fields
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gptkbp:bfsParent
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gptkb:Hecke_L-function
gptkb:Langlands_program
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gptkbp:bfsLayer
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5
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