A non-reflexive Whitehead group

by Eklof and Shelah. [EkSh:621]
J Pure and Applied Algebra, 2001
It is proved, via an iterated forcing construction with finite support, that it is consistent that there is a strongly aleph_1-free Whitehead group of cardinality aleph_1 which is strongly non-reflexive. It is also proved consistent that there is a group A satisfying Ext (A, Z) is torsion and Hom (A,Z)=0 .

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