%0 Journal Article
%T Infinitely presented graphical small cancellation groups are acylindrically hyperbolic
%A Dominik Gruber
%A Alessandro Sisto
%J Mathematics
%D 2014
%I arXiv
%X We prove that infinitely presented graphical $C(7)$ and $Gr(7)$ small cancellation groups are acylindrically hyperbolic. In particular, infinitely presented classical $C(7)$-groups and, hence, classical $C'(\frac{1}{6})$-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 $C'(\frac{1}{6})$-groups that provide new examples of divergence functions of groups.
%U http://arxiv.org/abs/1408.4488v2