A Combinatorial Principle Equivalent to the Existence of Non-free Whitehead Groups

by Eklof and Shelah. [EkSh:505]
Abelian group theory and related topics, 1994
As a consequence of identifying the principle described in the title, we prove that for any uncountable cardinal lambda, if there is a lambda-free Whitehead group of cardinality lambda which is not free, then there are many ``nice'' Whitehead groups of cardinality lambda which are not free.

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