Cyclic subgroup transitivity for Abelian groups
Brendan Goldsmith
Technological University Dublin, IrelandKetao Gong
Hubei Engineering University, Xiaogan City, ChinaLutz Strüngmann
Hochschule Mannheim, Germany
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Abstract
In previous work, the first two authors studied the notion of transitivity with respect to cyclic subgroups for separable Abelian -groups and modules over the ring of -adic integers. Here we consider briefly how the notion can be used in the context of torsion-free Abelian groups and also look at the situation for non-separable -groups and direct sums of infinite-rank homocyclic -groups.
Cite this article
Brendan Goldsmith, Ketao Gong, Lutz Strüngmann, Cyclic subgroup transitivity for Abelian groups. Rend. Sem. Mat. Univ. Padova (2023), published online first
DOI 10.4171/RSMUP/143