论文标题
群体和较高等级JSJ分解I：RAAGS和更高等级Makanin-Razborov图
Automorphisms of Groups and a Higher Rank JSJ Decomposition I: RAAGs and a Higher Rank Makanin-Razborov Diagram
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。 在第一篇论文中，我们证明了我们的构造，在一个直角的Artin组中。为了研究一般HHG的自动形态，我们构建了我们认为较高等级的Makanin-Razborov图，这是较高级别JSJ构建的第一步。
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 that satisfies some weak acylindricity conditions. To study these automorphisms we construct an object that can be viewed as a higher rank JSJ decomposition. In the first paper we demonstrate our construction in the case of a right angled Artin group. For studying automorphisms of a general HHG we construct what we view as a higher rank Makanin-Razborov diagram, which is the first step in the construction of the higher rank JSJ.
