Work

Acylindrical hyperbolicity of cubical small cancellation groups

Year: 2022

Type: article

Abstract: We provide an analogue of Strebel's classification of geodesic triangles in classical $C'(\frac16)$ groups for groups given by Wise's cubical presentations satisfying sufficiently strong metric cubical small cancellation conditions. Using our classification, we prove that, except in specific degenerate cases, such groups are acylindrically hyperbolic.

Source: Algebraic & Geometric Topology

DOI: 10.2140/agt.2022.22.2007

Authors: Goulnara N Arzhantseva, Mark F Hagen

Institutions: University of Vienna, University of Cambridge, University of Bristol

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Engineering and Physical Sciences Research Council, FP7 Ideas: European Research Council

Awards: G507808771, ANALYTIC PROPERTIES OF INFINITE GROUPS:limits, curvature, and randomness