Cyclic subgroup transitivity for Abelian groups

Abstract

. In previous work the (cid:12)rst two authors studied the notion of transitivity with respect to cyclic subgroups for separable Abelian p -groups and modules over the ring of p -adic integers. Here we consider brie(cid:13)y how the notion can be used in the context of torsion-free Abelian groups and also look at the situation for non-separable p -groups and direct sums of in(cid:12)nite rank homocyclic p -groups.