Kronecker–Weber theorem
Teorema de Kronecker-Weber
- Date
- 1853-1896 · confidence low
- Place
- Berlin, Germany
- Credited to
- Leopold Kronecker and Heinrich Weber
- Field
- Knowledge & symbols
What was discovered
Theorem in algebraic number theory showing that every finite abelian extension of the rationals is contained in some cyclotomic field; stated by Kronecker in 1853 and proved in stages up to Hilbert.
What it led to
- Boost to class field theory
- Later simplifications of the proof, including Hilbert's
- Basic tool of modern algebraic number theory