# Sh:621

• Eklof, P. C., & Shelah, S. (2001). A non-reflexive Whitehead group. J. Pure Appl. Algebra, 156(2-3), 199–214.
• Abstract:
It is proved, via an iterated forcing construction with finite support, that it is consistent that there is a strongly \aleph_1-free Whitehead group of cardinality \aleph_1 which is strongly non-reflexive. It is also proved consistent that there is a group A satisfying Ext(A, Z) is torsion and Hom(A,Z)=0.
• published version (16p)
Bib entry
@article{Sh:621,
author = {Eklof, Paul C. and Shelah, Saharon},
title = {{A non-reflexive Whitehead group}},
journal = {J. Pure Appl. Algebra},
fjournal = {Journal of Pure and Applied Algebra},
volume = {156},
number = {2-3},
year = {2001},
pages = {199--214},
issn = {0022-4049},
doi = {10.1016/S0022-4049(99)00152-8},
mrclass = {20K20 (03E35 03E75 20K35)},
mrnumber = {1808823},
mrreviewer = {C. Vinsonhaler},
doi = {10.1016/S0022-4049(99)00152-8},
note = {\href{https://arxiv.org/abs/math/9908157}{arXiv: math/9908157}},
arxiv_number = {math/9908157}
}