On the finite state automorphism group of a~rooted tree
Algebra and discrete mathematics, no. 1 (2002), pp. 79-87.

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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 normalizer was obtained and countability of the normalizer was proved.
Keywords: group automorphisms, automorphisms of rooted trees, finite automata.
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Yaroslav Lavrenyuk. On the finite state automorphism group of a~rooted tree. Algebra and discrete mathematics, no. 1 (2002), pp. 79-87. http://geodesic.mathdoc.fr/item/ADM_2002_1_a5/