# Geometric structures on negatively curved groups and their subgroups

@inproceedings{Brown2017GeometricSO, title={Geometric structures on negatively curved groups and their subgroups}, author={S. T. Brown}, year={2017} }

In this thesis, we investigate two explicit families of geometric structures that occur on hy- perbolic groups. After recalling some introductory material, we begin by giving an overview of the theory of special cube complexes, with a particular focus on properties of subgroups of hyperbolic special groups. We then describe an explicit algorithm, based on Stallings’ notion of folding for graphs, to construct a local isometry between cube complexes that represents the inclusion of a subgroup H… Expand

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