Disjoint Non-Free Subgoups of Abelian Groups

by Blass and Shelah. [BsSh:870]
Quaderni di Matematica, 2006
Let G be an abelian group and let lambda be the smallest rank of any group whose direct sum with a free group is isomorphic to G . If lambda is uncountable, then G has lambda pairwise disjoint, non-free subgroups. There is an example where lambda is countably infinite and G does not have even two disjoint, non-free subgroups.

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