More Abelian groups with free duals

Abstract

In answer to a question of A. Blass, J. Irwin and G. Schlitt, a subgroup G of the additive group Z^ω is constructed whose dual, Hom(G,Z), is free abelian of rank 2^{\aleph_0}. The question of whether Z^ω has subgroups whose duals are free of still larger rank is discussed, and some further classes of subgroups of Z^ω are noted.

9 pages. Copy at http://math.berkeley.edu/~gbergman/papers may be updated more frequently than arXiv copy