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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)
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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
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\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}
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    • 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
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    References:61
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