Linked from

The 13 pages that link to Class field theory, each with the reason it gives.

• Ideal class groupRelated: Ideal classes describe abelian extensions through reciprocity maps.

• Emil ArtinRelated: Artin’s reciprocity law became a central theorem of the subject.

• Langlands programRelated: It provides the abelian reciprocity law that Langlands theory generalizes.

• Algebraic number fieldRelated: It links the field's ideal arithmetic to its abelian extensions.

• Helmut HasseRelated: Hasse helped develop its local and global formulations.

• Class number formulaRelated: Class groups in the formula also encode unramified abelian extensions.

• Robert LanglandsRelated: Langlands presented his nonabelian conjectures as a far-reaching extension of this theory.

• Serge LangRelated: Lang’s early research and textbook helped develop and explain this central area.