On a factorization of an iterated wreath product of permutation groups
We show that if each group of permutations (Gi, Mi), i ∈ N has a factorization then their infinite iterated wreath product ≀i₌₁∞Gi also has a factorization. We discuss some properties of this factorization and give examples.
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2014 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/153343 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On a factorization of an iterated wreath product of permutation groups / B. Bajorska, V. Sushchansky // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 14–26. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862745689756270592 |
|---|---|
| author | Bajorska, B. Sushchansky, V. |
| author_facet | Bajorska, B. Sushchansky, V. |
| citation_txt | On a factorization of an iterated wreath product of permutation groups / B. Bajorska, V. Sushchansky // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 14–26. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We show that if each group of permutations (Gi, Mi), i ∈ N has a factorization then their infinite iterated wreath product ≀i₌₁∞Gi also has a factorization. We discuss some properties of this factorization and give examples.
|
| first_indexed | 2025-12-07T20:41:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153343 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:41:59Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bajorska, B. Sushchansky, V. 2019-06-14T03:25:17Z 2019-06-14T03:25:17Z 2014 On a factorization of an iterated wreath product of permutation groups / B. Bajorska, V. Sushchansky // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 14–26. — Бібліогр.: 12 назв. — англ. 1726-3255 2010 MSC:20E22, 20E18. https://nasplib.isofts.kiev.ua/handle/123456789/153343 We show that if each group of permutations (Gi, Mi), i ∈ N has a factorization then their infinite iterated wreath product ≀i₌₁∞Gi also has a factorization. We discuss some properties of this factorization and give examples. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On a factorization of an iterated wreath product of permutation groups Article published earlier |
| spellingShingle | On a factorization of an iterated wreath product of permutation groups Bajorska, B. Sushchansky, V. |
| title | On a factorization of an iterated wreath product of permutation groups |
| title_full | On a factorization of an iterated wreath product of permutation groups |
| title_fullStr | On a factorization of an iterated wreath product of permutation groups |
| title_full_unstemmed | On a factorization of an iterated wreath product of permutation groups |
| title_short | On a factorization of an iterated wreath product of permutation groups |
| title_sort | on a factorization of an iterated wreath product of permutation groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153343 |
| work_keys_str_mv | AT bajorskab onafactorizationofaniteratedwreathproductofpermutationgroups AT sushchanskyv onafactorizationofaniteratedwreathproductofpermutationgroups |