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) .
Back to the list of publications