论文标题
组的自动形态和较高等级的JSJ分解II：单一终端案例
Automorphisms of Groups and a Higher Rank JSJ Decomposition II: The single ended case
论文作者
论文摘要
JSJ分解编码双曲线组的自动形态和几乎循环分裂。对于一般有限呈现的组，JSJ分解仅编码它们的分裂。 在这一系列论文中，我们研究了满足某些较弱的酰基辅助条件的分层双曲线群（HHG）的自身形态。为了研究这些自动形态，我们构建了一个可以将其视为较高等级JSJ分解的对象。这种较高的等级分解编码了单个自动形态的动力学和HHG的外部自动形态组的结构。
The JSJ decomposition encodes the automorphisms and the virtually cyclic splittings of a hyperbolic group. For general finitely presented groups, the JSJ decomposition encodes only their splittings. In this sequence of papers we study the automorphisms of a hierarchically hyperbolic group (HHG) that satisfies some weak acylindricity conditions. To study these automorphisms we construct an object that can be viewed as a higher rank JSJ decomposition. This higher rank decomposition encodes the dynamics of individual automorphisms and the structure of the outer automorphism group of an HHG.
