Uniquely Transitive Torsion-free Abelian Groups
逻辑
2007-05-23 v1
摘要
We will answer a question raised by Emmanuel Dror 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 such a group of cardinality lambda for any successor cardinal lambda=mu^+ with mu=mu^{aleph_0}.
引用
@article{arxiv.math/0404259,
title = {Uniquely Transitive Torsion-free Abelian Groups},
author = {Rüdiger Göbel and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0404259},
year = {2007}
}