# Sh:976

- Shelah, S., & Strüngmann, L. H. (2011).
*Kulikov’s problem on universal torsion-free abelian groups revisited*. Bull. Lond. Math. Soc.,**43**(6), 1198–1204. DOI: 10.1112/blms/bdr055 MR: 2861541 -
Abstract:

Let T be a torsion abelian group. We consider the class of all torsion-free abelian groups G satisfying {\rm Ext}(G,T)=0 and search for \lambda-universal objects in this class. We show that for certain T there is no \omega-universal group. However, for uncountable cardinals \lambda there is always a \lambda-universal group if we assume (V=L). Together with results by the second author this solves completely a problem by Kulikov. - published version (7p)

Bib entry

@article{Sh:976, author = {Shelah, Saharon and Str{\"u}ngmann, Lutz H.}, title = {{Kulikov's problem on universal torsion-free abelian groups revisited}}, journal = {Bull. Lond. Math. Soc.}, fjournal = {Bulletin of the London Mathematical Society}, volume = {43}, number = {6}, year = {2011}, pages = {1198--1204}, issn = {0024-6093}, doi = {10.1112/blms/bdr055}, mrclass = {20K15 (20K20 20K35)}, mrnumber = {2861541}, mrreviewer = {Manfred Dugas}, doi = {10.1112/blms/bdr055} }