Non-elementary convergence groups are acylindrically hyperbolic

TL;DR

This paper proves that all non-elementary discrete convergence groups possess the property of acylindrical hyperbolicity, expanding understanding of their geometric and algebraic structure.

Contribution

It establishes that non-elementary discrete convergence groups are inherently acylindrically hyperbolic, a significant advancement in geometric group theory.

Findings

Non-elementary discrete convergence groups are acylindrically hyperbolic.

Provides new insights into the structure of convergence groups.

Connects convergence groups with acylindrical hyperbolicity properties.

Abstract

We proved that non-elementary discrete convergence groups are acylindrically hyperbolic.