Acylindrical hyperbolicity of cubical small-cancellation groups
Group Theory
2022-11-02 v3
Abstract
We provide an analogue of Strebel's classification of geodesic triangles in classical 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.
Cite
@article{arxiv.1603.05725,
title = {Acylindrical hyperbolicity of cubical small-cancellation groups},
author = {Goulnara N. Arzhantseva and Mark F. Hagen},
journal= {arXiv preprint arXiv:1603.05725},
year = {2022}
}
Comments
Revised according to referee comments. This version accepted in Algebraic and Geometric Topology