# Article

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Keywords:
torsion-free abelian groups; Butler groups; \$B_2\$-groups; \$\aleph _0\$-prebalanced subgroups; completely decomposable groups; separative subgroups
Summary:
It is shown, under ZFC, that a \$B_2\$-group has the interesting property of being \$\aleph _0\$-prebalanced in every torsion-free abelian group in which it is a pure subgroup. As a consequence, we obtain alternate proofs of some well-known theorems on \$B_2\$-groups.
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