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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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1043 |
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| Journal Title: | Algebra and Discrete Mathematics |