论文标题
双曲线2解释组的分层双曲线
Hierarchical hyperbolicity of hyperbolic-2-decomposable groups
论文作者
论文摘要
令G为具有2端边组的双曲线组的图。我们表明，当且仅当G没有扭曲的无限循环亚组时，G是层次上的双曲线。更确切地说，我们证明G当G不包含Baumslag-Solitar组的某些商时，G是层次的双曲线。结果，我们获得了有关此类的几个新结果，例如二次等级不平等和有限的渐近维度。
Let G be a graph of hyperbolic groups with 2-ended edge groups. We show that G is hierarchically hyperbolic if and only if G has no distorted infinite cyclic subgroup. More precisely, we show that G is hierarchically hyperbolic if and only if G does not contain certain quotients of Baumslag-Solitar groups. As a consequence, we obtain several new results about this class, such as quadratic isoperimetric inequality and finite asymptotic dimension.
