A cubical Rips construction
Given a finitely presented group Q and a compact special cube complex X with non-elementary hyperbolic fundamental group, we produce a non-elementary, torsion-free, cocompactly cubulated hyperbolic group Γ that surjects onto Q, with kernel isomorphic to a quotient of G=π1X and such that max{cd(G),2}≥cd(Γ)≥cd(G)−1.
Authors
- Macarena Arenas (ORCID: https://orcid.org/0000-0003-4965-8121)
Institutions
- University of Cambridge (GB)
Publication Details
- Journal
- Algebraic & Geometric Topology
- Published
- 2024-12-17
- DOI
- https://doi.org/10.2140/agt.2024.24.4353
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Cambridge Trust
- Newnham College, University of Cambridge