### Uniquely Transitive Torsion-free Abelian Groups

by Goebel and Shelah. [GbSh:650]

Proc Algebra Conference at Venice, June 2002; in the series: Lecture Notes in Pure and Appl. Math., 2004

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.

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