Corpus ID: 125865769

Geometric structures on negatively curved groups and their subgroups

  title={Geometric structures on negatively curved groups and their subgroups},
  author={S. T. Brown},
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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  • Samuel Brown
  • Mathematics, Computer Science
  • J. Lond. Math. Soc.
  • 2016
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