Bounded conciseness in the space of marked groups
Group Theory
2025-02-10 v1
Abstract
We prove that bounded conciseness is a closed property in the space of marked groups. As a consequence, we reformulate a conjecture of Fern\'andez-Alcober and Shumyatsky [7] about conciseness in the class of residually finite groups.
Cite
@article{arxiv.2502.05070,
title = {Bounded conciseness in the space of marked groups},
author = {Federico Berlai},
journal= {arXiv preprint arXiv:2502.05070},
year = {2025}
}