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: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2019
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1327 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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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 |
| 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 |
2024-04-12T06:25:36Z |
| last_indexed |
2024-04-12T06:25:36Z |
| _version_ |
1796109206392143872 |