More Abelian groups with free duals
Group Theory
2013-05-10 v1 General Topology
Logic
Abstract
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.
Keywords
Cite
@article{arxiv.1104.3827,
title = {More Abelian groups with free duals},
author = {George M. Bergman},
journal= {arXiv preprint arXiv:1104.3827},
year = {2013}
}
Comments
9 pages. Copy at http://math.berkeley.edu/~gbergman/papers may be updated more frequently than arXiv copy