2009/12/31 by Pete L. Clark · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Rings, Modules, and Algebras #Advanced Algebra and Geometry #Dedekind cut #Dedekind sum #Mathematics #Pure mathematics
paper · pdf · doi:10.4171/lem/55-3-1
openalex publication_date 2009/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
We give an affirmative answer to a 1976 question of M. Rosen: every abelian group is isomorphic to the class group of an elliptic Dedekind domain R . We can choose R to be the integral closure of a PID in a quadratic field extension. In particular, this yields new and – we feel – simpler proofs of theorems of L. Claborn and C.R. Leedham-Green.