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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Bibliographic Details
Date:2018
Main Author: Lavrenyuk, Yaroslav
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1150
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-1150
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua: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
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-05-15T14:22:44Z
collection OJS
language English
topic group automorphisms
automorphisms of rooted trees
finite automata
20E08
20F28
spellingShingle group automorphisms
automorphisms of rooted trees
finite automata
20E08
20F28
Lavrenyuk, Yaroslav
On the finite state automorphism group of a rooted tree
topic_facet group automorphisms
automorphisms of rooted trees
finite automata
20E08
20F28
format Article
author Lavrenyuk, Yaroslav
author_facet Lavrenyuk, Yaroslav
author_sort Lavrenyuk, Yaroslav
title On the finite state automorphism group of a rooted tree
title_short 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_sort on the finite state automorphism group of a rooted tree
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1150
work_keys_str_mv AT lavrenyukyaroslav onthefinitestateautomorphismgroupofarootedtree
first_indexed 2025-07-17T10:29:57Z
last_indexed 2025-07-17T10:29:57Z
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