Acylindrical hyperbolicity of groups acting on trees

Ashot Minasyan, Denis Osin

Published 2013-10-23, updated 2014-10-21Version 3

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.