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arXiv · 2309.03794

Finitely presented kernels of homomorphisms from hyperbolic groups onto free abelian groups

Robert Kropholler·Claudio Llosa Isenrich
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Abstract

For every $m\geq 2$ we produce an example of a non-hyperbolic finitely presented subgroup $H < G$ of a hyperbolic group $G$, which is the kernel of a surjective homomorphism $\phi: G\to \mathbb{Z}^m$. The examples we produce are of finiteness type $F_2$ and not $F_3$.

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Robert Kropholler, Claudio Llosa Isenrich. 2023-09-07. Finitely presented kernels of homomorphisms from hyperbolic groups onto free abelian groups. https://arxiv.org/abs/2309.03794

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