This article is cited in 1 paper

RESEARCH ARTICLE

On a factorization of an iterated wreath product of permutation groups

Beata Bajorska, Vitaliy Sushchansky

Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland

Abstract: 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.

MSC: 20E22, 20E18

Received: 15.05.2014
Revised: 15.05.2014

Language: English

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