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Hyperbolically embedded virtually free subgroups of relatively hyperbolic groups

Published 13 Sep 2011 in math.GR and math.GT | (1109.2663v3)

Abstract: We show that if a group is not virtually cyclic and is hyperbolic relative to a family of proper subgroups, then it has a hyperbolically embedded subgroup which contains a finitely generated non-abelian free group as a finite index subgroup.

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