KnowraHilbert class fieldLinked fromLinked fromThe 6 pages that link to Hilbert class field, each with the reason it gives.All 6Broader topic 3Related 3Algebraic number theoryBroader topic: Its Galois group is canonically isomorphic to the field's ideal class group.Class field theoryBroader topic: Its Galois group is identified with the field's ideal class group.Ideal class groupRelated: Its Galois group is isomorphic to the field’s ideal class group.Emil ArtinBroader topic: It is a concrete central object whose Galois group Artin reciprocity identifies with the ideal class group.Kronecker–Weber theoremRelated: It illustrates the wider class-field framework, where ramification and the base field change the description.Stark–Heegner theoremRelated: For each field in the theorem, the Hilbert class field is the field itself.