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, 2016, Volume 57, Number 2, Pages 332–338
DOI: https://doi.org/10.17377/smzh.2016.57.208 (Mi smj2747) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On hereditary superradical formations

X. Yia, S. F. Kamornikovb

a Departament of Mathematics, Zhejiang Sci-Tech University, Hangzhou, P. R. China
b International University "MITSO", Gomel, Belarus
Full-text PDF (403 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2016.57.208
Abstract: A formation $\mathfrak F$ is superradical provided that: (1) $\mathfrak F$ is a normally hereditary formation; (2) each group $G=AB$, where $A$ and $B$ are $\mathfrak F$-subnormal $\mathfrak F$-subgroups in $G$, belongs to $\mathfrak F$. We give an example of a hereditary superradical formation that is not soluble saturated. This gives a negative answer to Problem 14.99(b) in The Kourovka Notebook.
Keywords: finite group, formation, superradical formation, soluble saturation.
Funding agency Grant number
National Natural Science Foundation of China 11101369
11471055
The first author was supported by the NNSF of China (Grants 11101369 and 11471055).
Received: 31.12.2014
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 260–264
DOI: https://doi.org/10.1134/S0037446616020087
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: X. Yi, S. F. Kamornikov, “On hereditary superradical formations”, Sibirsk. Mat. Zh., 57:2 (2016), 332–338; Siberian Math. J., 57:2 (2016), 260–264
Citation in format AMSBIB
\Bibitem{YiKam16}
\by X.~Yi, S.~F.~Kamornikov
\paper On hereditary superradical formations
\jour Sibirsk. Mat. Zh.
\yr 2016
\vol 57
\issue 2
\pages 332--338
\mathnet{http://mi.mathnet.ru/smj2747}
\crossref{https://doi.org/10.17377/smzh.2016.57.208}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3510196}
\elib{https://elibrary.ru/item.asp?id=26237271}
\transl
\jour Siberian Math. J.
\yr 2016
\vol 57
\issue 2
\pages 260--264
\crossref{https://doi.org/10.1134/S0037446616020087}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000376307900008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84969601940}
Linking options:
  • https://www.mathnet.ru/eng/smj2747
  • https://www.mathnet.ru/eng/smj/v57/i2/p332
    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:231
    Full-text PDF :73
    References:48
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024