Acylindrical hyperbolicity of groups acting on trees

@article{Minasyan2013AcylindricalHO,
  title={Acylindrical hyperbolicity of groups acting on trees},
  author={Ashot Minasyan and Denis V. Osin},
  journal={Mathematische Annalen},
  year={2013},
  volume={362},
  pages={1055-1105}
}
We provide new examples of acylindrically hyperbolic groups arising from actions on simplicial trees. In particular, we consider amalgamated products and HNN-extensions, one-relator groups, automorphism groups of polynomial algebras, $$3$$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. 
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122 Citations

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GROUPS ACTING ACYLINDRICALLY ON HYPERBOLIC SPACES

  • D. Osin
  • Mathematics
    Proceedings of the International Congress of Mathematicians (ICM 2018)
  • 2019
The goal of this article is to survey some recent developments in the study of groups acting on hyperbolic spaces. We focus on the class of acylindrically hyperbolic groups; it is broad enough to…
...

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