Hilbertsche Klassenkörper

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
number field
gptkbp:alsoKnownAs gptkb:Hilbert_class_field
gptkbp:characteristic unique for each number field
gptkbp:defines the maximal unramified abelian extension of a number field
gptkbp:field algebraic number theory
https://www.w3.org/2000/01/rdf-schema#label Hilbertsche Klassenkörper
gptkbp:namedAfter gptkb:David_Hilbert
gptkbp:property its Galois group over the base field is isomorphic to the ideal class group
gptkbp:relatedTo class field theory
gptkbp:usedIn study of abelian extensions of number fields
gptkbp:bfsParent gptkb:Algebraische_Zahlentheorie
gptkbp:bfsLayer 6