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Sep 16, 2012 at 13:54 comment added Fred.Fred Thank you for a quick answer and apologies for not very MO question, I was being silly...
Sep 16, 2012 at 13:45 comment added Emil Jeřábek Every abelian group can be embedded into its injective envelope, which is a $p$-group if the original group is. Then the envelope is a direct sum of Prüfer $p$-groups by the structure theorem for divisible groups.
Sep 16, 2012 at 13:31 history asked Fred.Fred CC BY-SA 3.0