# Sh:650

• Göbel, R., & Shelah, S. (2004). Uniquely transitive torsion-free abelian groups. In Rings, modules, algebras, and abelian groups, Vol. 236, Dekker, New York, pp. 271–290.
• Abstract:
We will answer a question raised by Farjoun concerning the existence of torsion-free abelian groups G such that for any ordered pair of pure elements there is a unique automorphism mapping the first element onto the second one. We will show the existence of many such groups in the constructible universe L.
Bib entry
@incollection{Sh:650,
author = {G{\"o}bel, R{\"u}diger and Shelah, Saharon},
title = {{Uniquely transitive torsion-free abelian groups}},
booktitle = {{Rings, modules, algebras, and abelian groups}},
series = {Lecture Notes in Pure and Appl. Math.},
volume = {236},
year = {2004},
pages = {271--290},
publisher = {Dekker, New York},
mrnumber = {2050717},
mrclass = {20K30 (03E05 03E35 20K20)},
note = {\href{https://arxiv.org/abs/math/0404259}{arXiv: math/0404259}},
arxiv_number = {math/0404259}
}