Fully invariant subgroups of an infinitely iterated wreath product
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Fully invariant subgroups of an infinitely iterated wreath product
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| Creator |
Leshchenko, Y.L.
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| 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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| Date |
2019-06-16T05:39:51Z
2019-06-16T05:39:51Z 2011 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/154842 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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