论文标题

广义的鲍姆斯拉格 - 统治组和分层双曲线组

Generalised Baumslag-Solitar groups and Hierarchically Hyperbolic Groups

论文作者

Button, J. O.

论文摘要

我们查看对广义Baumslag的任意双曲线空间的等距动作 - 任意维度(自由Abelian顶点和边缘亚组的等级)的独立组。众所周知,作为分层双曲线群并不是准时不变的。我们表明,实际上是层次上的双曲线群,也不是在准iS-Imeptry下不变的,并且属性也不是(QT)。

We look at isometric actions on arbitrary hyperbolic spaces of generalised Baumslag - Solitar groups of arbitrary dimension (the rank of the free abelian vertex and edge subgroups). It is known that being a hierarchically hyperbolic group is not a quasi-isometric invariant. We show that virtually being a hierarchically hyperbolic group is not invariant under quasi-isometry either, and nor is property (QT).

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