## K.M. Rangaswamy

*A property of $B_2$-groups *

Comment.Math.Univ.Carolinae 35,4 (1994) 627-631. **Abstract:**It is shown, under ZFC, that a \text {$B_2$-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 \text {$B_2$-group}s.

**Keywords:** torsion-free abelian groups, Butler groups, \text {$B_2$-group}s, $\aleph _0$-prebalanced subgroups, completely decomposable groups, separative subgroups

**AMS Subject Classification:** Primary 20K20

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