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, 2013, Volume 52, Number 5, Pages 553–558 (Mi al602)  
This article is cited in 3 scientific papers (total in 3 papers)

Locally finite groups with bounded centralizer chains

A. A. Buturlakinab, A. V. Vasil'evab

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
Full-text PDF (127 kB) Citations (3)
References:
PDF
HTML
Abstract: The $c$-dimension of a group $G$ is the maximal length of a chain of nested centralizers in $G$. We prove that a locally finite group of finite $c$-dimension $k$ has less than $5k$ non-Abelian composition factors.
Keywords: locally finite group, non-Abelian simple group, lattice of centralizers, $c$-dimension.
Received: 29.10.2013
English version:
Algebra and Logic, 2013, Volume 52, Issue 5, Pages 367–370
DOI: https://doi.org/10.1007/s10469-013-9248-3
Bibliographic databases:
Document Type: Article
UDC: 512.544.5
Language: Russian
Citation: A. A. Buturlakin, A. V. Vasil'ev, “Locally finite groups with bounded centralizer chains”, Algebra Logika, 52:5 (2013), 553–558; Algebra and Logic, 52:5 (2013), 367–370
Citation in format AMSBIB
\Bibitem{ButVas13}
\by A.~A.~Buturlakin, A.~V.~Vasil'ev
\paper Locally finite groups with bounded centralizer chains
\jour Algebra Logika
\yr 2013
\vol 52
\issue 5
\pages 553--558
\mathnet{http://mi.mathnet.ru/al602}
\transl
\jour Algebra and Logic
\yr 2013
\vol 52
\issue 5
\pages 367--370
\crossref{https://doi.org/10.1007/s10469-013-9248-3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000328340100002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84888995147}
Linking options:
  • https://www.mathnet.ru/eng/al602
  • https://www.mathnet.ru/eng/al/v52/i5/p553
    • This publication is cited in the following 3 articles:
    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:347
    Full-text PDF :91
    References:62
    First page:29
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024