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arXiv · 1311.6903

Locally finite groups with bounded centralizer chains

Alexandr Buturlakin·Andrey V. Vasil'ev
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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 nonabelian composition factors.

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Alexandr Buturlakin, Andrey V. Vasil'ev. 2013-11-27. Locally finite groups with bounded centralizer chains. https://doi.org/10.1007/s10469-013-9248-3

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