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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