Conjugacy in finite state wreath powers of finite permutation groups

Conjugacy in finite state wreath powers of finite permutation groups

It is proved that conjugated periodic elements of the infinite wreath power of a finite permutation group are conjugated in the finite state wreath power of this group. Counter-examples for non-periodic elements are given.

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Bibliographic Details
Date:2019
Main Authors: Oliynyk, Andriy, Russyev, Andriy
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2019
Subjects:
permutation group
wreath power
automorphism of a rooted tree
conjugacy
20E08
20E06
20F65
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1327
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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-1327
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-13272019-04-09T04:53:54Z Conjugacy in finite state wreath powers of finite permutation groups Oliynyk, Andriy Russyev, Andriy permutation group, wreath power, automorphism of a rooted tree, conjugacy 20E08; 20E06; 20F65 It is proved that conjugated periodic elements of the infinite wreath power of a finite permutation group are conjugated in the finite state wreath power of this group. Counter-examples for non-periodic elements are given. Lugansk National Taras Shevchenko University 2019-03-23 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1327 Algebra and Discrete Mathematics; Vol 27, No 1 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1327/pdf Copyright (c) 2019 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2019-04-09T04:53:54Z
collection OJS
language English
topic permutation group
wreath power
automorphism of a rooted tree
conjugacy
20E08
20E06
20F65
spellingShingle permutation group
wreath power
automorphism of a rooted tree
conjugacy
20E08
20E06
20F65
Oliynyk, Andriy
Russyev, Andriy
Conjugacy in finite state wreath powers of finite permutation groups
topic_facet permutation group
wreath power
automorphism of a rooted tree
conjugacy
20E08
20E06
20F65
format Article
author Oliynyk, Andriy
Russyev, Andriy
author_facet Oliynyk, Andriy
Russyev, Andriy
author_sort Oliynyk, Andriy
title Conjugacy in finite state wreath powers of finite permutation groups
title_short Conjugacy in finite state wreath powers of finite permutation groups
title_full Conjugacy in finite state wreath powers of finite permutation groups
title_fullStr Conjugacy in finite state wreath powers of finite permutation groups
title_full_unstemmed Conjugacy in finite state wreath powers of finite permutation groups
title_sort conjugacy in finite state wreath powers of finite permutation groups
description It is proved that conjugated periodic elements of the infinite wreath power of a finite permutation group are conjugated in the finite state wreath power of this group. Counter-examples for non-periodic elements are given.
publisher Lugansk National Taras Shevchenko University
publishDate 2019
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1327
work_keys_str_mv AT oliynykandriy conjugacyinfinitestatewreathpowersoffinitepermutationgroups
AT russyevandriy conjugacyinfinitestatewreathpowersoffinitepermutationgroups
first_indexed 2025-07-17T10:36:11Z
last_indexed 2025-07-17T10:36:11Z
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