# Sh:803

• Shelah, S., & Strüngmann, L. H. (2009). Large indecomposable minimal groups. Q. J. Math., 60(3), 353–365.
• 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)
Bib entry
@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}
}