Cyclic Subgroups of Belk-Hyde-Matucci Group $V\!\mathcal{A}$

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Hauptverfasser: Burillo, José, Felipe, Marc
Format: Preprint
Veröffentlicht: 2026
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author Burillo, José
Felipe, Marc
author_facet Burillo, José
Felipe, Marc
contents In this paper it is proved that the Belk-Hyde-Matucci group $V\!\mathcal{A}$, a group containing every countable abelian group, does not contain subgroups with distorted cyclic subgroups.
format Preprint
id arxiv_https___arxiv_org_abs_2605_09763
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Cyclic Subgroups of Belk-Hyde-Matucci Group $V\!\mathcal{A}$
Burillo, José
Felipe, Marc
Group Theory
20F65, 20E32, 20E36
In this paper it is proved that the Belk-Hyde-Matucci group $V\!\mathcal{A}$, a group containing every countable abelian group, does not contain subgroups with distorted cyclic subgroups.
title Cyclic Subgroups of Belk-Hyde-Matucci Group $V\!\mathcal{A}$
topic Group Theory
20F65, 20E32, 20E36
url https://arxiv.org/abs/2605.09763