Almost disjoint pure subgroups of the Baer-Specker group

by Kolman and Shelah. [KlSh:683]
Abelian groups and modules (Dublin, 1998), 1999
We prove in ZFC that the Baer-Specker group Z^omega has 2^{aleph_1} non-free pure subgroups of cardinality aleph_1 which are almost disjoint: there is no non-free subgroup embeddable in any pair.

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