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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| Дата: | 2019 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2019
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1327 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543337507454976 |
|---|---|
| author | Oliynyk, Andriy Russyev, Andriy |
| author_facet | Oliynyk, Andriy Russyev, Andriy |
| author_sort | Oliynyk, Andriy |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2019-04-09T04:53:54Z |
| 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. |
| first_indexed | 2026-02-08T08:01:37Z |
| format | Article |
| id | admjournalluguniveduua-article-1327 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:01:37Z |
| publishDate | 2019 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | Conjugacy in finite state wreath powers of finite permutation groups |
| title_sort | conjugacy in finite state wreath powers of finite permutation groups |
| topic | permutation group wreath power automorphism of a rooted tree conjugacy 20E08 20E06 20F65 |
| topic_facet | permutation group wreath power automorphism of a rooted tree conjugacy 20E08 20E06 20F65 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1327 |
| work_keys_str_mv | AT oliynykandriy conjugacyinfinitestatewreathpowersoffinitepermutationgroups AT russyevandriy conjugacyinfinitestatewreathpowersoffinitepermutationgroups |