Hilbert class field characterization
= Hilbert class field characterization
The Hilbert class field is the maximal everywhere-unramified abelian extension of a number field; its Galois group is canonically the ideal class group.
= Hilbert class field characterization
The Hilbert class field is the maximal everywhere-unramified abelian extension of a number field; its Galois group is canonically the ideal class group.