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