Abstract
We prove that infinitely presented graphical Gr(7) small cancellation groups are acylindrically hyperbolic. In particular, infinitely presented classical C(7)-groups and, hence, classical C′(1/6)-groups are acylindrically hyperbolic. We also prove the analogous statements for the larger class of graphical small cancellation presentations over free products. We construct infinitely presented classical C′(1/6)-groups that provide new examples of divergence functions of groups.
| Original language | English |
|---|---|
| Pages (from-to) | 2501-2552 |
| Number of pages | 52 |
| Journal | Annales de l'Institut Fourier |
| Volume | 68 |
| Issue number | 6 |
| Early online date | 23 Nov 2018 |
| DOIs | |
| Publication status | Published - 2018 |
Keywords
- Acylindrical hyperbolicity
- Divergence
- Graphical small cancellation
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology
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Cite this
Gruber, D., & Sisto, A. (2018). Infinitely presented graphical small cancellation groups are acylindrically hyperbolic. Annales de l'Institut Fourier, 68(6), 2501-2552. https://doi.org/10.5802/aif.3215