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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2011 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154842 |
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| Zitieren: | 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. |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Fully invariant subgroups of an infinitely iterated wreath product |
| spellingShingle |
Fully invariant subgroups of an infinitely iterated wreath product Leshchenko, Y.L. |
| 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 |
| author |
Leshchenko, Y.L. |
| author_facet |
Leshchenko, Y.L. |
| publishDate |
2011 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154842 |
| 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. |
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AT leshchenkoyl fullyinvariantsubgroupsofaninfinitelyiteratedwreathproduct |
| first_indexed |
2025-12-07T16:06:33Z |
| last_indexed |
2025-12-07T16:06:33Z |
| _version_ |
1850866236713336832 |