Abstract
ABSTRACT This continues recent work in an article by Corner et al. (2004). 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 results in Corner et al. (2004) by replacing the hypothesis of ⋄ by CH. For details see the introduction.
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