1966/08/01 by Luther Claborn · 5 citations
Mathematics · #Rings, Modules, and Algebras #Mathematics #Abelian group #Group (periodic table) #G-module #Class (philosophy) #Non-abelian group #p-group #Pure mathematics #Elementary abelian group #Metabelian group #Combinatorics #Rank of an abelian group #Artificial intelligence #Computer science #Physics
paper · pdf · doi:10.2140/pjm.1966.18.219
openalex publication_date 1966/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/05
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.