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arXiv · 2506.20161

On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups

Rakesh Halder·Pranab Sardar
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Abstract

In this short note, we prove the existence of weakly malnormal, virtually free, quasiconvex subgroups in any nonelementary hyperbolic group. This extends a result of Ilya Kapovich, where he proved the existence of malnormal quasiconvex subgroups in torsion-free hyperbolic groups.

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Rakesh Halder, Pranab Sardar. 2025-06-25. On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups. https://arxiv.org/abs/2506.20161

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