Cyclic subgroup transitivity for Abelian groups
Copyright policy )Cyclic subgroup transitivity for Abelian groups
In previous work, the first 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 briefly 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 infinite-rank homocyclic p -groups.
- Technological University Dublin Ireland
- Mannheim University of Applied Sciences Germany
- Hubei Engineering University China (People's Republic of)
cyclic subgroup transitivity, Torsion-free groups, finite rank, non-separable \(p\)-groups, strongly separable torsion-free group, Direct sums, direct products, etc. for abelian groups, height sequences, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, Subgroups of abelian groups, homocyclic \(p\)-groups, Torsion groups, primary groups and generalized primary groups
cyclic subgroup transitivity, Torsion-free groups, finite rank, non-separable \(p\)-groups, strongly separable torsion-free group, Direct sums, direct products, etc. for abelian groups, height sequences, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, Subgroups of abelian groups, homocyclic \(p\)-groups, Torsion groups, primary groups and generalized primary groups
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!