# Link conditions for cubulation

@article{Ashcroft2020LinkCF, title={Link conditions for cubulation}, author={Calum J. Ashcroft}, journal={arXiv: Group Theory}, year={2020} }

We provide a condition on the links of polygonal complexes that is sufficient to ensure groups acting properly discontinuously and cocompactly on such complexes contain a virtually free codimension-1 subgroup. We provide stronger conditions on the links of polygonal complexes, which are sufficient to ensure groups acting properly discontinuously and cocompactly on such complexes act properly discontinuously on a CAT(0) cube complex. If the group is hyperbolic then this action is also cocompact…

## One Citation

Link Conditions for the Haagerup Property

- Mathematics
- 2021

We provide a condition on the links of a polygonal complex X that is sufficient to ensure Aut(X) has the Haagerup property, and hence so do any closed subgroups of Aut(X) (in particular, any group…

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