The center of the wreath product of symmetric group algebras
We consider the wreath product of two symmetric groups as a group of blocks permutations and we study its conjugacy classes. We give a polynomiality property for the structure coefficients of the center of the wreath product of symmetric group algebras. This allows us to recover an old result of Far...
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| Дата: | 2021 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2021
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1338 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543291833581568 |
|---|---|
| author | Tout, O. |
| author_facet | Tout, O. |
| author_sort | Tout, O. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2021-07-19T08:39:30Z |
| description | We consider the wreath product of two symmetric groups as a group of blocks permutations and we study its conjugacy classes. We give a polynomiality property for the structure coefficients of the center of the wreath product of symmetric group algebras. This allows us to recover an old result of Farahat and Higman about the polynomiality of the structure coefficients of the center of the symmetric group algebra and to generalize our recent result about the polynomiality property of the structure coefficients of the center of the hyperoctahedral group algebra. |
| first_indexed | 2025-12-02T15:25:23Z |
| format | Article |
| id | admjournalluguniveduua-article-1338 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:25:23Z |
| publishDate | 2021 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-13382021-07-19T08:39:30Z The center of the wreath product of symmetric group algebras Tout, O. symmetric groups, wreath products, structure coefficients, centers of finite groups algebras 05E10, 05E16, 20C30 We consider the wreath product of two symmetric groups as a group of blocks permutations and we study its conjugacy classes. We give a polynomiality property for the structure coefficients of the center of the wreath product of symmetric group algebras. This allows us to recover an old result of Farahat and Higman about the polynomiality of the structure coefficients of the center of the symmetric group algebra and to generalize our recent result about the polynomiality property of the structure coefficients of the center of the hyperoctahedral group algebra. Lugansk National Taras Shevchenko University 2021-07-19 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1338 10.12958/adm1338 Algebra and Discrete Mathematics; Vol 31, No 2 (2021) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1338/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1338/874 Copyright (c) 2021 Algebra and Discrete Mathematics |
| spellingShingle | symmetric groups wreath products structure coefficients centers of finite groups algebras 05E10 05E16 20C30 Tout, O. The center of the wreath product of symmetric group algebras |
| title | The center of the wreath product of symmetric group algebras |
| title_full | The center of the wreath product of symmetric group algebras |
| title_fullStr | The center of the wreath product of symmetric group algebras |
| title_full_unstemmed | The center of the wreath product of symmetric group algebras |
| title_short | The center of the wreath product of symmetric group algebras |
| title_sort | center of the wreath product of symmetric group algebras |
| topic | symmetric groups wreath products structure coefficients centers of finite groups algebras 05E10 05E16 20C30 |
| topic_facet | symmetric groups wreath products structure coefficients centers of finite groups algebras 05E10 05E16 20C30 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1338 |
| work_keys_str_mv | AT touto thecenterofthewreathproductofsymmetricgroupalgebras AT touto centerofthewreathproductofsymmetricgroupalgebras |