Local class field theory

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo finite extensions of F_q((t))
finite extensions of Q_p
gptkbp:concerns Galois groups of local fields
gptkbp:describes abelian extensions of local fields
abelian extensions of p-adic fields
gptkbp:developedBy gptkb:Claude_Chevalley
gptkb:Emil_Artin
gptkb:Helmut_Hasse
gptkbp:field gptkb:mathematics
gptkbp:hasSubfield algebraic number theory
https://www.w3.org/2000/01/rdf-schema#label Local class field theory
gptkbp:influenced modern algebraic number theory
gptkbp:mainTheorem reciprocity law
existence theorem
gptkbp:relatedTo gptkb:global_class_field_theory
gptkbp:studies abelian extensions of local fields
gptkbp:uses gptkb:Galois_cohomology
local fields
valuation theory
norm residue symbol
gptkbp:bfsParent gptkb:Class_field_theory
gptkbp:bfsLayer 6