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

Published 27 Jun 2011 in math.GR | (1106.5288v3)

Abstract: 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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