### Large Indecomposable Minimal Groups

by Shelah and Struengmann. [ShSm:803]

Quarterly J Math, 2009

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.

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