On a factorization of an iterated wreath product of permutation groups
We show that if each group of permutations \((G_i, M_i),\ i\in\mathbb{N}\) has a factorization then their infinite iterated wreath product \(\mathop{\hbox{\(\wr\)}}\limits_{i=1}^{\infty}\!\! G_i\) also has a factorization. We discuss some properties of this factorization and give examples.
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1043 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-10432018-04-26T02:28:53Z On a factorization of an iterated wreath product of permutation groups Bajorska, Beata Sushchansky, Vitaliy iterated wreath product of permutation groups, factorization of groups, profinite groups 20E22, 20E18 We show that if each group of permutations \((G_i, M_i),\ i\in\mathbb{N}\) has a factorization then their infinite iterated wreath product \(\mathop{\hbox{\(\wr\)}}\limits_{i=1}^{\infty}\!\! G_i\) also has a factorization. We discuss some properties of this factorization and give examples. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1043 Algebra and Discrete Mathematics; Vol 18, No 1 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1043/565 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-26T02:28:53Z |
| collection |
OJS |
| language |
English |
| topic |
iterated wreath product of permutation groups factorization of groups profinite groups 20E22 20E18 |
| spellingShingle |
iterated wreath product of permutation groups factorization of groups profinite groups 20E22 20E18 Bajorska, Beata Sushchansky, Vitaliy On a factorization of an iterated wreath product of permutation groups |
| topic_facet |
iterated wreath product of permutation groups factorization of groups profinite groups 20E22 20E18 |
| format |
Article |
| author |
Bajorska, Beata Sushchansky, Vitaliy |
| author_facet |
Bajorska, Beata Sushchansky, Vitaliy |
| author_sort |
Bajorska, Beata |
| title |
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_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_sort |
on a factorization of an iterated wreath product of permutation groups |
| description |
We show that if each group of permutations \((G_i, M_i),\ i\in\mathbb{N}\) has a factorization then their infinite iterated wreath product \(\mathop{\hbox{\(\wr\)}}\limits_{i=1}^{\infty}\!\! G_i\) also has a factorization. We discuss some properties of this factorization and give examples. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1043 |
| work_keys_str_mv |
AT bajorskabeata onafactorizationofaniteratedwreathproductofpermutationgroups AT sushchanskyvitaliy onafactorizationofaniteratedwreathproductofpermutationgroups |
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2025-07-17T10:34:58Z |
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2025-07-17T10:34:58Z |
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1837890009793822720 |