English

On Crawley Modules

Logic 2007-05-23 v1 Commutative Algebra Group Theory

Abstract

This continues recent work in a paper by Corner, Gobel and Goldsmith. A particular question was left open: Is it possible to carry over the results concerning the undecidability of torsion--free Crawley groups to modules over the ring of p-adic integers? We will confirm this and also strengthen one of the older results in by replacing the hypothesis of diamondsuit by CH.

Keywords

Cite

@article{arxiv.math/0504198,
  title  = {On Crawley Modules},
  author = {Rüdiger Göbel and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/0504198},
  year   = {2007}
}