English

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

Group Theory 2026-05-12 v1

Abstract

In this paper it is proved that the Belk-Hyde-Matucci group V ⁣AV\!\mathcal{A}, a group containing every countable abelian group, does not contain subgroups with distorted cyclic subgroups.

Cite

@article{arxiv.2605.09763,
  title  = {Cyclic Subgroups of Belk-Hyde-Matucci Group $V\!\mathcal{A}$},
  author = {José Burillo and Marc Felipe},
  journal= {arXiv preprint arXiv:2605.09763},
  year   = {2026}
}

Comments

4 figures

R2 v1 2026-07-22T07:02:44.819Z