# Sh:505

• Eklof, P. C., & Shelah, S. (1994). A combinatorial principle equivalent to the existence of non-free Whitehead groups. In Abelian group theory and related topics (Oberwolfach, 1993), Vol. 171, Amer. Math. Soc., Providence, RI, pp. 79–98.
• Abstract:
As a consequence of identifying the principle described in the title, we prove that for any uncountable cardinal \lambda, if there is a \lambda-free Whitehead group of cardinality \lambda which is not free, then there are many “nice” Whitehead groups of cardinality \lambda which are not free.
• Version 1994-03-04_10 (23p) published version (20p)
Bib entry
@incollection{Sh:505,
author = {Eklof, Paul C. and Shelah, Saharon},
title = {{A combinatorial principle equivalent to the existence of non-free Whitehead groups}},
booktitle = {{Abelian group theory and related topics (Oberwolfach, 1993)}},
series = {Contemp. Math.},
volume = {171},
year = {1994},
pages = {79--98},
publisher = {Amer. Math. Soc., Providence, RI},
mrnumber = {1293134},
mrclass = {20K20 (03E05)},
doi = {10.1090/conm/171/01765},
note = {\href{https://arxiv.org/abs/math/9403220}{arXiv: math/9403220}},
arxiv_number = {math/9403220}
}