Work

Improved algebraic fibrations of high-dimensional hyperbolic groups

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2606.05091

Authors: Italiano, Giovanni, Migliorini, Matteo, Ng, Andrew

Institutions: University of Oxford, Karlsruhe Institute of Technology, DVGW-Forschungsstelle am Engler-Bunte-Institut des Karlsruher Instituts für Technologie, University of Bonn

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Engineering and Physical Sciences Research Council

Award: EXC 2047: Hausdorff Center for Mathematics (HCM)

OpenAlex ID: W7163514510

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