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Every abelian group is a class group
1966
Pacific Journal of Mathematics
Preserved Fulltext
Let T be the set of minimal primes of a Krull domain A. If S is a subset of T 9 we form B = n A P for PeS and study the relation of the class group of B to that of A. We find that the class group of B is always a homomorphic image of that of A. We use this type of construction to obtain a Krull domain with specified class group and then alter such a Krull domain to obtain a Dedekind domain with the same class group.
doi:10.2140/pjm.1966.18.219
fatcat:wbn3ublocvgfvn7ruqn3a7m5qq