On weakly transitive torsion-free Abelian groups

A. R. Chekhlov

Tomsk State University, Tomsk, Russia

Abstract: Quasi-homogeneous weakly transitive rank $2$ torsion-free groups are described, and any finite rank torsion-free group with strongly indecomposable pure subgroups is shown to be weakly transitive.

UDC: 512.541

 English version: Journal of Mathematical Sciences (New York), 2021, 259:4, 515–517