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.
Збережено в:
| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2019 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188422 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Conjugacy in finite state wreath powers of finite permutation groups / A. Oliynyk, A. Russyev // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 58–69. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-188422 |
|---|---|
| record_format |
dspace |
| spelling |
Oliynyk, A. Russyev, A. 2023-02-28T18:56:34Z 2023-02-28T18:56:34Z 2019 Conjugacy in finite state wreath powers of finite permutation groups / A. Oliynyk, A. Russyev // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 58–69. — Бібліогр.: 6 назв. — англ. 1726-3255 2010 MSC: 20E08, 20E06, 20F65. https://nasplib.isofts.kiev.ua/handle/123456789/188422 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Conjugacy in finite state wreath powers of finite permutation groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Conjugacy in finite state wreath powers of finite permutation groups |
| spellingShingle |
Conjugacy in finite state wreath powers of finite permutation groups Oliynyk, A. Russyev, A. |
| 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 |
| author |
Oliynyk, A. Russyev, A. |
| author_facet |
Oliynyk, A. Russyev, A. |
| publishDate |
2019 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188422 |
| citation_txt |
Conjugacy in finite state wreath powers of finite permutation groups / A. Oliynyk, A. Russyev // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 58–69. — Бібліогр.: 6 назв. — англ. |
| work_keys_str_mv |
AT oliynyka conjugacyinfinitestatewreathpowersoffinitepermutationgroups AT russyeva conjugacyinfinitestatewreathpowersoffinitepermutationgroups |
| first_indexed |
2025-11-30T16:16:10Z |
| last_indexed |
2025-11-30T16:16:10Z |
| _version_ |
1850858088166326273 |