A Note on Countable Butler Groups

It is shown, under ZFC, that a $B_{2}$ -group has the interesting property of being $ℵ_{0}$ -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.

Generalized Almost Completely Decomposable Groups

Adolf Mader, Lutz Strüngmann (2005)

Rendiconti del Seminario Matematico della Università di Padova

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A result on $B_{1}$ -groups

Ladislav Bican, K. M. Rangaswamy (1995)

Rendiconti del Seminario Matematico della Università di Padova

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