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arXiv · 1411.7367

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

Dominik Gruber
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Abstract

We prove that infinitely presented classical $C(6)$ small cancellation groups are SQ-universal. We extend the result to graphical $Gr_*(6)$-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 $Gr'(\frac{1}{6})$-presentations.

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Dominik Gruber. 2014-11-26. Infinitely presented C(6)-groups are SQ-universal. https://doi.org/10.1112/jlms%2Fjdv022

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