Sh:803

• Shelah, S., & Strüngmann, L. H. (2009). Large indecomposable minimal groups. Q. J. Math., 60(3), 353–365. DOI: 10.1093/qmath/han012 MR: 2533663
• Abstract:
  Assuming V=L we prove that there exist indecomposable almost-free minimal groups of size \lambda for every regular cardinal \lambda below the first weakly compact cardinal. This is to say that there are indecomposable almost-free torsion-free abelian groups of cardinality \lambda which are isomorphic to all of their finite index subgroups.
• published version (13p)

@article{Sh:803,
 author = {Shelah, Saharon and Str{\"u}ngmann, Lutz H.},
 title = {{Large indecomposable minimal groups}},
 journal = {Q. J. Math.},
 fjournal = {The Quarterly Journal of Mathematics},
 volume = {60},
 number = {3},
 year = {2009},
 pages = {353--365},
 issn = {0033-5606},
 mrnumber = {2533663},
 mrclass = {20A15 (03E45 03E75 20K20)},
 doi = {10.1093/qmath/han012}
}