Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 1, Pages 165–177 (Mi smj2522)  
This article is cited in 2 scientific papers (total in 2 papers)

Imprimitivity systems and lattices of normal subgroups in $D$-hyperoctahedral groups

B. V. Oliynyka, V. I. Sushchanskiĭb

a National University "Kyiv-Mohyla Academy", Kyiv, Ukraine
b Institute of Mathematics, Silesian University of Technology, Gliwice, Poland
Full-text PDF (367 kB) Citations (2)
References:
PDF
HTML
Abstract: We study $D$-hyperoctahedral groups, diagonal inductive limits of hyperoctahedral groups. Also, we describe the $Z_2$-modules of periodic sequences over diagonal limits of symmetric groups under their action on the elements of a $Z_2$-module by permutation of coordinates. The imprimitivity systems for $D$-hyperoctahedral groups are characterized, and a full description of the lattices of their normal subgroups is given.
Keywords: hyperoctahedral group, wreath product, homogeneous symmetric group, $G$-module, normal subgroup, imprimitivity systems.
Received: 19.04.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 1, Pages 132–141
DOI: https://doi.org/10.1134/S0037446614010169
Bibliographic databases:
Document Type: Article
UDC: 515.122.4+512.54
Language: Russian
Citation: B. V. Oliynyk, V. I. Sushchanskiǐ, “Imprimitivity systems and lattices of normal subgroups in $D$-hyperoctahedral groups”, Sibirsk. Mat. Zh., 55:1 (2014), 165–177; Siberian Math. J., 55:1 (2014), 132–141
Citation in format AMSBIB
\Bibitem{OliSus14}
\by B.~V.~Oliynyk, V.~I.~Sushchanski{\v\i}
\paper Imprimitivity systems and lattices of normal subgroups in $D$-hyperoctahedral groups
\jour Sibirsk. Mat. Zh.
\yr 2014
\vol 55
\issue 1
\pages 165--177
\mathnet{http://mi.mathnet.ru/smj2522}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3220595}
\transl
\jour Siberian Math. J.
\yr 2014
\vol 55
\issue 1
\pages 132--141
\crossref{https://doi.org/10.1134/S0037446614010169}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000332453900016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894722105}
Linking options:
  • https://www.mathnet.ru/eng/smj2522
  • https://www.mathnet.ru/eng/smj/v55/i1/p165
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025