On the finite state automorphism group of a rooted tree

Yaroslav Lavrenyuk

Abstract


The normalizer of the finite state automorphism group of a rooted homogeneous tree in the full automorphism group of this tree was investigated. General form of elements in the nor-malizer was obtained and countability of the normalizer was proved.


Keywords


group automorphisms, automorphisms of rooted trees, finite automata

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