More Abelian groups with free duals

Details More Abelian groups with free duals More Abelian groups with free duals

2011-04-19

arxiv.org/abs/1104.3827v1

Mathematics

Group Theory

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

Scientific paper

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

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