# 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. arXiv: math/9403220 DOI: 10.1090/conm/171/01765 MR: 1293134 -
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. - 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} }