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.Emil ArtinBroader topic: It is a concrete central object whose Galois group Artin reciprocity identifies with the ideal class group.