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arXiv · 1310.6289

Acylindrical hyperbolicity of groups acting on trees

Ashot Minasyan·Denis Osin
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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.

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Ashot Minasyan, Denis Osin. 2013-10-23. Acylindrical hyperbolicity of groups acting on trees. https://arxiv.org/abs/1310.6289

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