Infinitely presented C(6)-groups are SQ-universal

Abstract

We prove that infinitely presented classical $C(6)$ small cancellation groups are SQ-universal. We extend the result to graphical $G{r}_{\ast }(6)$-groups over free products. For every $p\in \mathbb{N}$, we construct uncountably many pairwise non-quasi-isometric groups that admit classical $C(p)$-presentations but no graphical $G{r}^{\prime }(\frac{1}{6})$-presentations.

27 pages, 8 figures

References in corpus (3)

• Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
• Rips-Segev torsion-free groups without the unique product property
• Rips construction without unique product

Cited by in corpus (1)

• Small cancellation theory over Burnside groups