2 papers
math.GR2012
Cannon-Thurston maps do not always exist
Owen Baker, Timothy Riley
We construct an example of a hyperbolic group with a hyperbolic subgroup for which the Cannon-Thurston map does not exist. That is, inclusion does not induce a map of the boundarie…
math.GR2004
A finitely presented group with unbounded dead-end depth
Sean Cleary, Tim R. Riley
The dead-end depth of an element g of a group G, with respect to a generating set A is the distance from g to the complement of the radius closed ball, in the word metri…