Geodesic
A property of $B_2$-groups
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 627-631

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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.
Classification : 20K20, 20K25, 20K27
Keywords: torsion-free abelian groups; Butler groups; $B_2$-groups; $\aleph _0$-prebalanced subgroups; completely decomposable groups; separative subgroups 
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     title = {A property of $B_2$-groups},
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Rangaswamy, K. M. A property of $B_2$-groups. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 627-631. http://geodesic.mathdoc.fr/item/CMUC_1994__35_4_a3/