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Locally Finite Groups with Bounded Centralizer Chains

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Algebra and Logic Aims and scope

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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    A. A. Buturlakin & A. V. Vasil’ev

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    A. A. Buturlakin & A. V. Vasil’ev

Authors
  1. A. A. Buturlakin
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  2. A. V. Vasil’ev
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Correspondence to A. A. Buturlakin or A. V. Vasil’ev.

Additional information

Supported by RFBR, project No. 13-01-00505.

Translated from Algebra i Logika, Vol. 52, No. 5, pp. 553-558, September-October, 2013.

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Buturlakin, A.A., Vasil’ev, A.V. Locally Finite Groups with Bounded Centralizer Chains. Algebra Logic 52, 367–370 (2013). https://doi.org/10.1007/s10469-013-9248-3

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  • DOI: https://doi.org/10.1007/s10469-013-9248-3

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