On Crawley Modules

Mathematics – Logic

Scientific paper

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Scientific paper

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.

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