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.
|Number of pages||37|
|Journal||Algebraic and Geometric Topology|
|Publication status||Published - 25 Oct 2022|
- cubical small cancellation
- acylindrically hyperbolic group