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arXiv · 1109.2663

Hyperbolically embedded virtually free subgroups of relatively hyperbolic groups

Yoshifumi Matsuda·Shin-ichi Oguni·Saeko Yamagata
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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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Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata. 2012-05-22. Hyperbolically embedded virtually free subgroups of relatively hyperbolic groups. https://arxiv.org/abs/1109.2663

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