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math.RA2023
Solution to the Uniformly Fully Inert Subgroups Problem for Abelian Groups
Andrey R. Chekhlov, Peter V. Danchev
A famous conjecture attributed to Dardano-Dikranjan-Rinauro-Salce states that any uniformly fully inert subgroup of a given group is commensurable with a fully invariant subgroup (…
math.RA2023
On Abelian Groups Having All Proper Characteristic Subgroups Isomorphic
Andrey R. Chekhlov, Peter V. Danchev
We consider two variants of those Abelian groups with all proper characteristic subgroups isomorphic and give an in-depth study of their basic and specific properties in either par…