论文标题
辫子，内形构成和Andreadakis问题
Braids, inner automorphisms and the Andreadakis problem
论文作者
论文摘要
在本文中，我们概括了[DAR19B]中引入的工具，以研究IAN亚组的Readakis问题。特别是，当我们将内部自动形态添加到IAN的子组中时，我们研究了和Readakis问题的行为。我们显着使用它来表明，AndReadakis平等对N链的纯编织组构成了其中心，该中心作用于N-1发电机上的自由组，即（基于纯的）映射N-punctunct的球体对其基本组作用。
In this paper, we generalize the tools that were introduced in [Dar19b] in order to study the Andreadakis problem for subgroups of IAn. In particular, we study the behaviour of the Andreadakis problem when we add inner automorphisms to a subgroup of IAn. We notably use this to show that the Andreadakis equality holds for the pure braid group on n strands modulo its center acting on the free group on n-1 generators , that is, for the (pure, based) mapping class group of the n-punctured sphere acting on its fundamental group.
