## The first almost free Whitehead group## Saharon Shelah
Assume GCH and that k is the first uncountable
cardinal such that there
is a non-free k-free Abelian Whitehead group of
cardinality k.
We prove that if all k-free Abelian
groups of
cardinality k are Whitehead then k is necessarily an
inaccessible cardinal.
Tbilisi Mathematical Journal, Vol. 4 (2011), pp. 17-30 |