# Sh:678

• Eklof, P. C., & Shelah, S. (1999). Absolutely rigid systems and absolutely indecomposable groups. In Abelian groups and modules (Dublin, 1998), Birkhäuser, Basel, pp. 257–268.
• Abstract:
We give a new proof that there are arbitrarily large indecomposable abelian groups; moreover, the groups constructed are absolutely indecomposable, that is, they remain indecomposable in any generic extension. However, any absolutely rigid family of groups has cardinality less than the partition cardinal \kappa(\omega).
• Version 2000-10-06_11 (12p) published version (12p)
Bib entry
@incollection{Sh:678,
author = {Eklof, Paul C. and Shelah, Saharon},
title = {{Absolutely rigid systems and absolutely indecomposable groups}},
booktitle = {{Abelian groups and modules (Dublin, 1998)}},
series = {Trends Math.},
year = {1999},
pages = {257--268},
publisher = {Birkh\"auser, Basel},
mrnumber = {1735574},
mrclass = {20K20},
note = {\href{https://arxiv.org/abs/math/0010264}{arXiv: math/0010264}},
arxiv_number = {math/0010264}
}