Geodesic
On a factorization of an iterated wreath product of permutation groups
Algebra and discrete mathematics, Tome 18 (2014) no. 1, pp. 14-26

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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 $\mathop{\wr}\limits_{i=1}^{\infty}\!\! G_i$ also has a factorization. We discuss some properties of this factorization and give examples.
Keywords: iterated wreath product of permutation groups, factorization of groups, profinite groups. 
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Beata Bajorska; Vitaliy Sushchansky. On a factorization of an iterated wreath product of permutation groups. Algebra and discrete mathematics, Tome 18 (2014) no. 1, pp. 14-26. http://geodesic.mathdoc.fr/item/ADM_2014_18_1_a3/