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arXiv · 2307.15932

Solution to the Uniformly Fully Inert Subgroups Problem for Abelian Groups

Andrey R. Chekhlov·Peter V. Danchev
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Abstract

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 (see, respectively, [5] and [6]). In this short note, we completely settle this problem in the affirmative for an arbitrary Abelian group.

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Andrey R. Chekhlov, Peter V. Danchev. 2023-07-29. Solution to the Uniformly Fully Inert Subgroups Problem for Abelian Groups. https://arxiv.org/abs/2307.15932

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