The first almost free Whitehead group
Logic
2011-06-13 v3
Abstract
Assume G.C.H. and kappa is the first uncountable cardinal such that there is a kappa-free abelian group which is not a Whitehead (abelian) group. We prove that kappa is necessarily an inaccessible cardinal
Cite
@article{arxiv.0708.1980,
title = {The first almost free Whitehead group},
author = {Saharon Shelah},
journal= {arXiv preprint arXiv:0708.1980},
year = {2011}
}