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Keywords:
$\Cal B^{(1)}$-groups; Butler groups of finite rank
$\Cal B^{(1)}$-groups; Butler groups of finite rank
Summary:
A necessary and sufficient condition is given for the direct sum of two $\Cal B^{(1)}$-groups to be (quasi-isomorphic to) a $\Cal B^{(1)}$-group. A $\Cal B^{(1)}$-group is a torsionfree Abelian group that can be realized as the quotient of a finite direct sum of rank 1 groups modulo a pure subgroup of rank 1.
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