# Sh:870

• Blass, A. R., & Shelah, S. (2006). Disjoint non-free subgroups of abelian groups. In Set theory: recent trends and applications, Vol. 17, Dept. Math., Seconda Univ. Napoli, Caserta, pp. 1–24.
• Abstract:
Let G be an abelian group and let \lambda be the smallest rank of any group whose direct sum with a free group is isomorphic to G. If \lambda is uncountable, then G has \lambda pairwise disjoint, non-free subgroups. There is an example where \lambda is countably infinite and G does not have even two disjoint, non-free subgroups.
• Version 2005-09-02_11 (19p)
Bib entry
@incollection{Sh:870,
author = {Blass, Andreas R. and Shelah, Saharon},
title = {{Disjoint non-free subgroups of abelian groups}},
booktitle = {{Set theory: recent trends and applications}},
}