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 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/684 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| Резюме: | 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. |
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