On Crawley Modules

by Goebel and Shelah. [GbSh:833]
Communications in Algebra, 2005
This continues recent work in a paper by Corner, G{o}bel 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 .

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