论文标题
立方撕裂的结构
A cubical Rips construction
论文作者
论文摘要
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 $。
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 $max\{cd(G),2\}\geq cd(Γ)\geq cd(G)-1$.
