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arxiv: 1106.5288 · v3 · pith:3VEHHAPLnew · submitted 2011-06-27 · 🧮 math.GR

The universal relatively hyperbolic structure on a group and relative quasiconvexity for subgroups

classification 🧮 math.GR
keywords grouphyperbolicrelativelyquasiconvexityrelativestructurestructuressubgroups
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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.

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