Fully invariant subgroups of an infinitely iterated wreath product
The article deals with the infinitely iterated wreath product of cyclic groups \(C_p\) of prime order \(p\). We consider a generalized infinite wreath product as a direct limit of a sequence of finite \(n\)th wreath powers of \(C_p\) with certain embeddings and use its tableau representation. The ma...
Збережено в:
| Дата: | 2018 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/684 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-684 |
|---|---|
| record_format |
ojs |
| spelling |
oai:ojs.admjournal.luguniv.edu.ua:article-6842018-04-04T09:31:27Z Fully invariant subgroups of an infinitely iterated wreath product Leshchenko, Yuriy Yu. wreath product, fully invariant subgroups 20B22, 20E18, 20E22 The article deals with the infinitely iterated wreath product of cyclic groups \(C_p\) of prime order \(p\). We consider a generalized infinite wreath product as a direct limit of a sequence of finite \(n\)th wreath powers of \(C_p\) with certain embeddings and use its tableau representation. The main result are the statements that this group doesn't contain a nontrivial proper fully invariant subgroups and doesn't satisfy the normalizer condition. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/684 Algebra and Discrete Mathematics; Vol 12, No 2 (2011) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/684/218 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
wreath product fully invariant subgroups 20B22 20E18 20E22 |
| spellingShingle |
wreath product fully invariant subgroups 20B22 20E18 20E22 Leshchenko, Yuriy Yu. Fully invariant subgroups of an infinitely iterated wreath product |
| topic_facet |
wreath product fully invariant subgroups 20B22 20E18 20E22 |
| format |
Article |
| author |
Leshchenko, Yuriy Yu. |
| author_facet |
Leshchenko, Yuriy Yu. |
| author_sort |
Leshchenko, Yuriy Yu. |
| title |
Fully invariant subgroups of an infinitely iterated wreath product |
| title_short |
Fully invariant subgroups of an infinitely iterated wreath product |
| title_full |
Fully invariant subgroups of an infinitely iterated wreath product |
| title_fullStr |
Fully invariant subgroups of an infinitely iterated wreath product |
| title_full_unstemmed |
Fully invariant subgroups of an infinitely iterated wreath product |
| title_sort |
fully invariant subgroups of an infinitely iterated wreath product |
| description |
The article deals with the infinitely iterated wreath product of cyclic groups \(C_p\) of prime order \(p\). We consider a generalized infinite wreath product as a direct limit of a sequence of finite \(n\)th wreath powers of \(C_p\) with certain embeddings and use its tableau representation. The main result are the statements that this group doesn't contain a nontrivial proper fully invariant subgroups and doesn't satisfy the normalizer condition. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/684 |
| work_keys_str_mv |
AT leshchenkoyuriyyu fullyinvariantsubgroupsofaninfinitelyiteratedwreathproduct |
| first_indexed |
2024-04-12T06:26:35Z |
| last_indexed |
2024-04-12T06:26:35Z |
| _version_ |
1796109221633196032 |