Elliptic Dedekind Domains Revisited
Commutative Algebra
2008-05-09 v1 Number Theory
Abstract
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 separable quadratic field extension. In particular, this yields new and -- we feel -- simpler proofs of theorems of L. Claborn and C.R. Leedham-Green.
Keywords
Cite
@article{arxiv.0805.1082,
title = {Elliptic Dedekind Domains Revisited},
author = {Pete L. Clark},
journal= {arXiv preprint arXiv:0805.1082},
year = {2008}
}
Comments
9 pages