%0 Journal Article
%T On Quasiconvexity and Relative Hyperbolic Structures
%A Eduardo Martinez-Pedroza
%J Mathematics
%D 2008
%I arXiv
%X Let G be a group which is hyperbolic relative to a collection of subgroups A, and it is also hyperbolic relative to a collection of subgroups B. Suppose that the collection A contains B. We characterize, for subgroups of G, when quasicovexity relative to A implies quasiconvexity relative to B. We also show that quasiconvexity relative to B implies quasiconvexity relative to A. Some applications are discussed.
%U http://arxiv.org/abs/0811.2384v4