2017
Том 69
№ 9

All Issues

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

Russev A. V.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 10, pp 1581-1591.

Citation Example: Russev A. V. On conjugacy in groups of finite-state automorphisms of rooted trees // Ukr. Mat. Zh. - 2008. - 60, № 10. - pp. 1357–1366.

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