Fully invariant subgroups of an infinitely iterated wreath product
The article deals with the infinitely iterated wreath product of cyclic groups Cp of prime order p. We consider a generalized infinite wreath product as a direct limit of a sequence of finite nth wreath powers of Cp with certain embeddings and use its tableau representation. The main result are the...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2011 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2011
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/154842 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Fully invariant subgroups of an infinitely iterated wreath product / Y.L. Leshchenko // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 85–93. — Бібліогр.: 15 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862687294776934400 |
|---|---|
| author | Leshchenko, Y.L. |
| author_facet | Leshchenko, Y.L. |
| citation_txt | Fully invariant subgroups of an infinitely iterated wreath product / Y.L. Leshchenko // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 85–93. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | The article deals with the infinitely iterated wreath product of cyclic groups Cp of prime order p. We consider a generalized infinite wreath product as a direct limit of a sequence of finite nth wreath powers of Cp 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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| first_indexed | 2025-12-07T16:06:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154842 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:06:33Z |
| publishDate | 2011 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Leshchenko, Y.L. 2019-06-16T05:39:51Z 2019-06-16T05:39:51Z 2011 Fully invariant subgroups of an infinitely iterated wreath product / Y.L. Leshchenko // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 85–93. — Бібліогр.: 15 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20B22, 20E18, 20E22. https://nasplib.isofts.kiev.ua/handle/123456789/154842 The article deals with the infinitely iterated wreath product of cyclic groups Cp of prime order p. We consider a generalized infinite wreath product as a direct limit of a sequence of finite nth wreath powers of Cp 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Fully invariant subgroups of an infinitely iterated wreath product Article published earlier |
| spellingShingle | Fully invariant subgroups of an infinitely iterated wreath product Leshchenko, Y.L. |
| title | 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_short | Fully invariant subgroups of an infinitely iterated wreath product |
| title_sort | fully invariant subgroups of an infinitely iterated wreath product |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154842 |
| work_keys_str_mv | AT leshchenkoyl fullyinvariantsubgroupsofaninfinitelyiteratedwreathproduct |