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arXiv · 2303.11218

An infinite family of exotic subgroups of hyperbolic groups

Monika Kudlinska
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Abstract

We construct the first known infinite family of quasi-isometry classes of subgroups of hyperbolic groups which are not hyperbolic and are of type $\mathrm{FP}(\mathbb{Q})$. We give a simple criterion for producing many non-hyperbolic subgroups of hyperbolic groups with strong finiteness properties. We also observe that local hyperbolicity and algebraic fibring are mutually exclusive in higher dimensions.

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Monika Kudlinska. 2023-03-20. An infinite family of exotic subgroups of hyperbolic groups. https://arxiv.org/abs/2303.11218

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