Subgroups of direct sum of a Prufer group - MathOverflow most recent 30 from http://mathoverflow.net2013-05-19T05:50:52Zhttp://mathoverflow.net/feeds/question/107318http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/107318/subgroups-of-direct-sum-of-a-prufer-groupSubgroups of direct sum of a Prufer groupFred.Fred2012-09-16T13:31:42Z2012-09-16T13:31:42Z
<p>Hello,
I wonder which p-primary groups can be injected into a suitable direct sum of Prufer groups. I would suspect that ugly groups like the torsion part of $\prod \mathbb{Z}_{p^k}$ are not of this kind, but I was unable to figure it out. I would be grateful for any hint or reference.</p>