Remarks on approximability and stability for groups

Fuente: arXiv
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Autori principali: Alekseev, Vadim, Thom, Andreas
Natura: Preprint
Pubblicazione: 2025
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author Alekseev, Vadim
Thom, Andreas
author_facet Alekseev, Vadim
Thom, Andreas
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_15494
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Remarks on approximability and stability for groups
Alekseev, Vadim
Thom, Andreas
Group Theory
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.
title Remarks on approximability and stability for groups
topic Group Theory
url https://arxiv.org/abs/2512.15494