Acylindrical hyperbolicity of groups acting on trees
Group Theory
2017-12-21 v6 Geometric Topology
Abstract
We provide new examples of acylindrically hyperbolic groups arising from actions on simplicial trees. In particular, we consider amalgamated products and HNN-extensions, 1-relator groups, automorphism groups of polynomial algebras, 3-manifold groups and graph products. Acylindrical hyperbolicity is then used to obtain some results about the algebraic structure, analytic properties and measure equivalence rigidity of groups from these classes.
Cite
@article{arxiv.1310.6289,
title = {Acylindrical hyperbolicity of groups acting on trees},
author = {Ashot Minasyan and Denis Osin},
journal= {arXiv preprint arXiv:1310.6289},
year = {2017}
}
Comments
The published version of this paper contained a gap which is explained and partially fixed in the erratum arXiv:1711.09486. For the benefit of the readers, we have incorporated all necessary changes in this version