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arxiv: 1109.2663 · v3 · pith:REFIMYVDnew · submitted 2011-09-13 · 🧮 math.GR · math.GT

Hyperbolically embedded virtually free subgroups of relatively hyperbolic groups

classification 🧮 math.GR math.GT
keywords embeddedfreegrouphyperbolichyperbolicallysubgroupsubgroupsvirtually
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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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