Algebra i logika
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 Logika:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i logika, 2020, Volume 59, Number 4, Pages 458–470
DOI: https://doi.org/10.33048/alglog.2020.59.403 (Mi al2626) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Intersections of nilpotent subgroups in finite groups with sporadic socle

V. I. Zenkovab

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (249 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.33048/alglog.2020.59.403
Abstract: It is proved that for any nilpotent subgroups $A$ and $B$ in a finite group $G$ with sporadic socle, there is an element $g$ such that $A\bigcap B^g=1$.
Keywords: sporadic group, nilpotent subgroup, intersections of subgroups.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00456
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
V. I. Zenkov is Supported by RFBR (project No. 20-01-00456) and by the Competitiveness Enhancement Program for leading universities of Russia (Agreement No. 02.A03.21.0006 of 27.08.2013).
Received: 20.03.2020
Revised: 24.11.2020
English version:
Algebra and Logic, 2020, Volume 59, Issue 4, Pages 313–321
DOI: https://doi.org/10.1007/s10469-020-09603-x
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: V. I. Zenkov, “Intersections of nilpotent subgroups in finite groups with sporadic socle”, Algebra Logika, 59:4 (2020), 458–470; Algebra and Logic, 59:4 (2020), 313–321
Citation in format AMSBIB
\Bibitem{Zen20}
\by V.~I.~Zenkov
\paper Intersections of nilpotent subgroups in finite groups with sporadic socle
\jour Algebra Logika
\yr 2020
\vol 59
\issue 4
\pages 458--470
\mathnet{http://mi.mathnet.ru/al2626}
\crossref{https://doi.org/10.33048/alglog.2020.59.403}
\transl
\jour Algebra and Logic
\yr 2020
\vol 59
\issue 4
\pages 313--321
\crossref{https://doi.org/10.1007/s10469-020-09603-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000593057900006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85096609403}
Linking options:
  • https://www.mathnet.ru/eng/al2626
  • https://www.mathnet.ru/eng/al/v59/i4/p458
    • This publication is cited in the following articles:
    1. V. I. Zenkov, “On Intersections of Nilpotent Subgroups in Finite Groups with Simple Socle from the “Atlas of Finite Groups””, Proc. Steklov Inst. Math. (Suppl.), 323:1 (2023), S321–S332  mathnet  mathnet  crossref  crossref  scopus
    2. Timothy C. Burness, “On soluble subgroups of sporadic groups”, Isr. J. Math., 254:1 (2023), 313  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:218
    Full-text PDF :30
    References:24
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024