Homomorphisms to acylindrically hyperbolic groups I: Equationally noetherian groups and families
Group Theory
2017-04-13 v1
Abstract
We study the set of homomorphisms from a fixed finitely generated group into a family of groups which are `uniformly acylindrically hyperbolic'. Our main results reduce this study to sets of homomorphisms which do not diverge in an appropriate sense. As an application, we prove that any relatively hyperbolic group with equationally noetherian peripheral subgroups is itself equationally noetherian.
Keywords
Cite
@article{arxiv.1704.03491,
title = {Homomorphisms to acylindrically hyperbolic groups I: Equationally noetherian groups and families},
author = {Daniel Groves and Michael Hull},
journal= {arXiv preprint arXiv:1704.03491},
year = {2017}
}
Comments
39 pages