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arXiv · 2202.01048

A cubical Rips construction

Macarena Arenas
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Abstract

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 $G=π_1 X$ and such that $max\{cd(G),2\}\geq cd(Γ)\geq cd(G)-1$.

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Macarena Arenas. 2023-02-08. A cubical Rips construction. https://doi.org/10.2140/agt.2024.24.4353

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