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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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Schlagworte: | |
| 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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Algebra and Discrete Mathematics| Zusammenfassung: | 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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