Infinitely presented graphical small cancellation groups are acylindrically hyperbolic

Dominik Gruber; Alessandro Sisto

doi:10.5802/aif.3215

Infinitely presented graphical small cancellation groups are acylindrically hyperbolic

Dominik Gruber, Alessandro Sisto

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6 Citations (Scopus)

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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	https://doi.org/10.5802/aif.3215
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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