Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra and Discrete Mathematics, 2014, Volume 18, Issue 1, Pages 14–26 (Mi adm478)  
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
Full-text PDF (351 kB) Citations (1)
References:
PDF
HTML
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
Bibliographic databases:
Document Type: Article
MSC: 20E22, 20E18
Language: English
Citation: Beata Bajorska, Vitaliy Sushchansky, “On a factorization of an iterated wreath product of permutation groups”, Algebra Discrete Math., 18:1 (2014), 14–26
Citation in format AMSBIB
\Bibitem{BajSus14}
\by Beata~Bajorska, Vitaliy~Sushchansky
\paper On a factorization of an iterated wreath product of permutation groups
\jour Algebra Discrete Math.
\yr 2014
\vol 18
\issue 1
\pages 14--26
\mathnet{http://mi.mathnet.ru/adm478}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3280253}
Linking options:
  • https://www.mathnet.ru/eng/adm478
  • https://www.mathnet.ru/eng/adm/v18/i1/p14
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:287
    Full-text PDF :146
    References:58
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025