KnowraKronecker–Weber theoremLinked fromLinked fromThe 5 pages that link to Kronecker–Weber theorem, each with the reason it gives.All 5Broader topic 2Related 2Compared with 1Richard DedekindRelated: Its proof and context belong to the number-theoretic world Dedekind helped formalize.Cyclotomic fieldRelated: It makes cyclotomic fields universal containers for abelian number fields.Class field theoryBroader topic: It is the explicit classification of abelian extensions over the simplest number field.Emil ArtinCompared with: It is the rational-field case that Artin’s reciprocity theory generalizes.Leopold KroneckerBroader topic: It gives a precise instance of the abelian-extension problem Kronecker pursued.