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Keywords:
Abelian group; torsionfree; finite rank; Butler group; $B(1)$-group; $B(2)$-group; type; tent; base change; direct decomposition; typeset
Abelian group; torsionfree; finite rank; Butler group; $B(1)$-group; $B(2)$-group; type; tent; base change; direct decomposition; typeset
Summary:
A $B(2)$-group is a sum of a finite number of torsionfree Abelian groups of rank $1$, subject to two independent linear relations. We complete here the study of direct decompositions over two base elements, determining the cases where the relations play an essential role.
References:
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