Graphs, surfaces, and cube complexes
9 July 2018
Abstract: In the 90s, Sageev showed how to build an action on a cube complexfrom a collection of codimension one subgroups of a group G. We consider the case that the group G is hyperbolic, and show that vertex stabilizers are quasiconvex if and only if the codimension one subgroups are. We also give conditions under which the action can be promoted to a proper cocompact action.
This is joint work with Daniel Groves.