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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.09763 |
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| _version_ | 1866909030967934976 |
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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 |