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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
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
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
Linking options:
https://www.mathnet.ru/eng/al602 https://www.mathnet.ru/eng/al/v52/i5/p553
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Abstract page: | 341 | Full-text PDF : | 90 | References: | 61 | First page: | 29 |
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