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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2019 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188422 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862634467347136512 |
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| author | Oliynyk, A. Russyev, A. |
| author_facet | Oliynyk, A. Russyev, A. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-11-30T16:16:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188422 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-30T16:16:10Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| 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 |
| spellingShingle | Conjugacy in finite state wreath powers of finite permutation groups Oliynyk, A. Russyev, A. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188422 |
| work_keys_str_mv | AT oliynyka conjugacyinfinitestatewreathpowersoffinitepermutationgroups AT russyeva conjugacyinfinitestatewreathpowersoffinitepermutationgroups |