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arXiv · 2608.15747

On intersections of locally quasiconvex subgroups

Nir Lazarovich·Zachary Munro
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Abstract

Let $H_1, H_2$ be locally quasiconvex, torsion-free subgroups of a hyperbolic group $G$. We prove $\mathrm{rank}(H_1 \cap H_2)$ can be bounded in terms of $\mathrm{rank}(H_1)$ and $\mathrm{rank}(H_2)$.

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Nir Lazarovich, Zachary Munro. 2026-08-16. On intersections of locally quasiconvex subgroups. https://arxiv.org/abs/2608.15747

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