Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 3, Pages 144–149 (Mi timm971)  
This article is cited in 14 scientific papers (total in 14 papers)

On intersections of nilpotent subgroups in finite symmetric and alternating groups

V. I. Zenkovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University named after B. N. Yeltsin
Full-text PDF (140 kB) Citations (14)
References:
PDF
HTML
Abstract: It is proved that, in a nonsolvable finite symmetric or alternating group, for any pair of nilpotent subgroups, there exists a subgroup conjugate to one of them such that its intersection with the other subgroup is trivial, except for the group $S_8$.
Keywords: maximal nilpotent subgroup, symmetric group, alternating group.
Received: 05.03.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 285, Issue 1, Pages S203–S208
DOI: https://doi.org/10.1134/S0081543814050228
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: V. I. Zenkov, “On intersections of nilpotent subgroups in finite symmetric and alternating groups”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 3, 2013, 144–149; Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S203–S208
Citation in format AMSBIB
\Bibitem{Zen13}
\by V.~I.~Zenkov
\paper On intersections of nilpotent subgroups in finite symmetric and alternating groups
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 3
\pages 144--149
\mathnet{http://mi.mathnet.ru/timm971}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3363306}
\elib{https://elibrary.ru/item.asp?id=20234980}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2014
\vol 285
\issue , suppl. 1
\pages S203--S208
\crossref{https://doi.org/10.1134/S0081543814050228}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000338337200021}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84903271319}
Linking options:
  • https://www.mathnet.ru/eng/timm971
  • https://www.mathnet.ru/eng/timm/v19/i3/p144
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:261
    Full-text PDF :74
    References:65
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024