The universal relatively hyperbolic structure on a group and relative quasiconvexity for subgroups
نویسندگان
چکیده
We discuss the notion of the universal relatively hyperbolic structure on a group which is used in order to characterize relatively hyperbolic structures on the group. We also study relations between relatively hyperbolic structures on a group and relative quasiconvexity for subgroups of the group.
منابع مشابه
A Note on Quasiconvexity and Relative Hyperbolic Structures
Let G be a group which is hyperbolic relative to a collection of subgroups H1, and it is also hyperbolic relative to a collection of subgroups H2. Suppose that H2 ⊂ H1. We characterize, for subgroups of G, when quasiconvexity relative to H1 implies quasiconvexity relative to H2. We also show that quasiconvexity relative toH2 implies quasiconvexity relative toH1. As an application, we give some ...
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تاریخ انتشار 2014