Uniquely Transitive Torsion-free Abelian Groups

Details Uniquely Transitive Torsion-free Abelian Groups Uniquely Transitive Torsion-free Abelian Groups

2004-04-14

arxiv.org/abs/math/0404259v1

Mathematics

Logic

Scientific paper

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}.

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