On conjugacy in groups of finite-state automorphisms of rooted trees

• Date: 2008
• Main Authors: Russev, A. V., Руссєв, А. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3250
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We show that the conjugacy of elements of finite order in the group of finite-state automorphisms of a rooted tree is equivalent to their conjugacy in the group of all automorphisms of the rooted tree. We establish a criterion for conjugacy between a finite-state automorphism and the adding machine...