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arXiv · 1410.1521

Locally finite groups containing a $2$-element with Chernikov centralizer

E. I. Khukhro·N. Yu. Makarenko·P. Shumyatsky
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Abstract

Suppose that a locally finite group $G$ has a $2$-element $g$ with Chernikov centralizer. It is proved that if the involution in $\langle g\rangle$ has nilpotent centralizer, then $G$ has a soluble subgroup of finite index.

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E. I. Khukhro, N. Yu. Makarenko, P. Shumyatsky. 2014-10-04. Locally finite groups containing a $2$-element with Chernikov centralizer. https://arxiv.org/abs/1410.1521

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