Uniquely Transitive Torsionfree Abelian Groups
Abstract
We will answer a question raised by Emmanuel Dror Farjoun concerning the existence of torsionfree 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}.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 2004
 arXiv:
 arXiv:math/0404259
 Bibcode:
 2004math......4259G
 Keywords:

 Logic