Algebra and Logic

, Volume 52, Issue 5, pp 367–370 | Cite as

Locally Finite Groups with Bounded Centralizer Chains

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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 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia
  2. 2.Novosibirsk State UniversityNovosibirskRussia

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