@article{Russev_2008, title={On conjugacy in groups of finite-state automorphisms of rooted trees}, volume={60}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3250}, abstractNote={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 in the group of finite-state automorphisms of a rooted tree of valency 2.}, number={10}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Russev, A. V.}, year={2008}, month={Oct.}, pages={1357–1366} }