On conjugacy in groups of finite-state automorphisms of rooted trees
AbstractWe 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 in the group of finite-state automorphisms of a rooted tree of valency 2.
How to Cite
Russev, A. V. “On Conjugacy in Groups of Finite-State Automorphisms of Rooted Trees”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 10, Oct. 2008, pp. 1357–1366, https://umj.imath.kiev.ua/index.php/umj/article/view/3250.