Locally finite groups of finite $c$-dimension

A. A. Buturlakin

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arXiv · 1805.00910

Locally finite groups of finite $c$-dimension

A. A. Buturlakin

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Abstract

The supremum of lengths of strict chains of nested centralizers is called the $c$-dimension (centralizer dimension) of $G$. We prove two structure theorems for locally finite groups of finite $c$-dimension. We also prove that the $c$-dimension of the quotient of such a group by a locally soluble radical is bounded in terms of the $c$-dimension of the group itself.

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A. A. Buturlakin. 2018-05-02. Locally finite groups of finite $c$-dimension. https://arxiv.org/abs/1805.00910

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