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 give conditions guaranteeing that a cubical small cancellation group is acylindrically hyperbolic.
"Acylindrical hyperbolicity of cubical small cancellation groups." Algebr. Geom. Topol. 22 (5) 2007 - 2078, 2022. https://doi.org/10.2140/agt.2022.22.2007