Absolutely rigid systems and absolutely indecomposable groups

by Eklof and Shelah. [EkSh:678]
Abelian groups and modules (Dublin, 1998), 1999
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) .

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