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.
@article{ADM_2002_1_a5,
author = {Yaroslav Lavrenyuk},
title = {On the finite state automorphism group of a~rooted tree},
journal = {Algebra and discrete mathematics},
pages = {79--87},
year = {2002},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2002_1_a5/}
}
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/