Absolutely rigid systems and absolutely indecomposable groups

Details Absolutely rigid systems and absolutely indecomposable groups Absolutely rigid systems and absolutely indecomposable groups

2000-10-27

arxiv.org/abs/math/0010264v1

Mathematics

Logic

Scientific paper

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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