Geodesic
On Butler $B(2)$-groups decomposing over two base elements
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 2, pp. 165-179

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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.
Classification : 06B99, 06F99, 20K15
Keywords: Abelian group; torsionfree; finite rank; Butler group; $B(1)$-group; $B(2)$-group; type; tent; base change; direct decomposition; typeset 
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     title = {On {Butler} $B(2)$-groups decomposing over two base elements},
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De Vivo, Clorinda; Metelli, Claudia. On Butler $B(2)$-groups decomposing over two base elements. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 2, pp. 165-179. http://geodesic.mathdoc.fr/item/CMUC_2009__50_2_a0/