Tuesday, April 13
Eduardo Martinez Pedroza, McMaster University
(Joint work with J. Manning) It is unknown whether all hyperbolic groups are residually finite. Under the assumption that all hyperbolic groups are residually finite, we deduce the separability of all quasiconvex subgroups of relatively hyperbolic groups with peripheral structure consisting of virtually nilpotent subgroups. In the talk, we will explain how the result follows from applications of the Dehn filling construction for relatively hyperbolic groups, the combination theorems for quasiconvex subgroups and work by Agol, Groves and Manning.
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