论文标题
迭代的指数图单组群
Iterated Monodromy Groups of Exponential Maps
论文作者
论文摘要
本文介绍了迭代的单构型组，以实现先验功能，并在最简单的环境中讨论它们，以用于后有限的指数函数。这些群体以自然的方式是自相似的群体，基于揉捏序列的明确结构。我们研究了这些组的群体理论特性，并特别表明它们是可正常的，但它们不是基本的，因此可以正常正常。
This paper introduces iterated monodromy groups for transcendental functions and discusses them in the simplest setting, for post-singularly finite exponential functions. These groups are self-similar groups in a natural way, based on an explicit construction in terms of kneading sequences. We investigate the group theoretic properties of these groups, and show in particular that they are amenable, but they are not elementary subexponentially amenable.
