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arXiv · 2606.05091

Improved algebraic fibrations of high-dimensional hyperbolic groups

Giovanni Italiano·Matteo Migliorini·Andrew Ng
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Abstract

For every $d \geq 3$, we construct infinitely many quasi-isometry classes of hyperbolic groups $G$ of cohomological dimension $d$ that algebraically fibre with finitely presented kernel. All our groups arise as finite-index subgroups of right-angled Coxeter groups. In many cases, the $L^2$-Betti numbers of the groups $G$ provide obstructions to higher finiteness properties of the kernel. Our groups therefore expand the list of subgroups of hyperbolic groups with exotic finiteness properties.

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Giovanni Italiano, Matteo Migliorini, Andrew Ng. 2026-06-03. Improved algebraic fibrations of high-dimensional hyperbolic groups. https://arxiv.org/abs/2606.05091

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