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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