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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 1, Pages 14–26
(Mi adm478)
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This article is cited in 1 scientific paper (total 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.
Received: 15.05.2014 Revised: 15.05.2014
Citation:
Beata Bajorska, Vitaliy Sushchansky, “On a factorization of an iterated wreath product of permutation groups”, Algebra Discrete Math., 18:1 (2014), 14–26
Linking options:
https://www.mathnet.ru/eng/adm478 https://www.mathnet.ru/eng/adm/v18/i1/p14
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Abstract page: | 269 | Full-text PDF : | 133 | References: | 50 |
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