On the finite state automorphism group of a rooted tree

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.

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Datum:2018
1. Verfasser: Lavrenyuk, Yaroslav
Format: Artikel
Sprache:Englisch
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1150
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Lavrenyuk, Yaroslav
author_facet Lavrenyuk, Yaroslav
author_sort Lavrenyuk, Yaroslav
baseUrl_str
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datestamp_date 2018-05-15T14:22:44Z
description 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.
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institution Algebra and Discrete Mathematics
language English
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publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-11502018-05-15T14:22:44Z On the finite state automorphism group of a rooted tree Lavrenyuk, Yaroslav group automorphisms, automorphisms of rooted trees, finite automata 20E08, 20F28 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. Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1150 Algebra and Discrete Mathematics; Vol 1, No 1 (2002) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1150/643 Copyright (c) 2018 Algebra and Discrete Mathematics
spellingShingle group automorphisms
automorphisms of rooted trees
finite automata
20E08
20F28
Lavrenyuk, Yaroslav
On the finite state automorphism group of a rooted tree
title On the finite state automorphism group of a rooted tree
title_full On the finite state automorphism group of a rooted tree
title_fullStr On the finite state automorphism group of a rooted tree
title_full_unstemmed On the finite state automorphism group of a rooted tree
title_short On the finite state automorphism group of a rooted tree
title_sort on the finite state automorphism group of a rooted tree
topic group automorphisms
automorphisms of rooted trees
finite automata
20E08
20F28
topic_facet group automorphisms
automorphisms of rooted trees
finite automata
20E08
20F28
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1150
work_keys_str_mv AT lavrenyukyaroslav onthefinitestateautomorphismgroupofarootedtree