# 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. arXiv: math/0509406 MR: 2374760 -
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}}, series = {Quad. Mat.}, volume = {17}, year = {2006}, pages = {1--24}, publisher = {Dept. Math., Seconda Univ. Napoli, Caserta}, mrnumber = {2374760}, mrclass = {20K20 (03E05 03E75)}, note = {\href{https://arxiv.org/abs/math/0509406}{arXiv: math/0509406}}, arxiv_number = {math/0509406} }