Finitely Presented Kernels of Homomorphisms From Hyperbolic Groups Onto Free Abelian Groups
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 $F_{3}$.
Authors
- Claudio Llosa Isenrich (ORCID: https://orcid.org/0000-0001-9480-0372)
- Robert Kropholler (ORCID: https://orcid.org/0000-0001-8993-7542)
Institutions
- Karlsruhe Institute of Technology (DE)
- University of Warwick (GB)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2024-10-23
- DOI
- https://doi.org/10.1093/imrn/rnae235
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 1.01