Work

Acylindrical hyperbolicity of groups acting on trees

Year: 2013

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1310.6289

Authors: Minasyan, Ashot, Osin, Denis

Institutions: University of Southampton, Vanderbilt University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Russian Foundation for Basic Research, Engineering and Physical Sciences Research Council

Awards: G3094737210, Profinite topology on non-positively curved groups, G4692615971, Asymptotic invariants of groups and subgroups

OpenAlex ID: W2951116186

Cites: 67

Cited by: 6

Related to: 20