Remarks on approximability and stability for groups
Group Theory
2025-12-18 v1
Abstract
In this paper, we provide several instances in which interesting approximation and stability properties are inherited by quotients with respect to finitely generated normal subgroups or, more strongly, normal subgroups with Kazhdan's property (T). Applications arise when these observations are combined with variations of the Rips construction due to Wise and Belegradek--Osin.
Cite
@article{arxiv.2512.15494,
title = {Remarks on approximability and stability for groups},
author = {Vadim Alekseev and Andreas Thom},
journal= {arXiv preprint arXiv:2512.15494},
year = {2025}
}
Comments
20 pages, no figures