Kronecker-Weber theorem

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns abelian extensions of the rational numbers
gptkbp:field number theory
https://www.w3.org/2000/01/rdf-schema#label Kronecker-Weber theorem
gptkbp:implies abelian extensions of Q are contained in cyclotomic fields
gptkbp:namedAfter gptkb:Heinrich_Weber
gptkb:Leopold_Kronecker
gptkbp:provenBy gptkb:Heinrich_Weber
gptkbp:publishedIn gptkb:Mathematische_Annalen
gptkbp:relatedTo gptkb:Galois_theory
gptkb:cyclotomic_field
class field theory
gptkbp:state every finite abelian extension of the rational numbers is a subfield of a cyclotomic field
gptkbp:yearProved 1886
gptkbp:bfsParent gptkb:Leopold_Kronecker
gptkbp:bfsLayer 4