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

Khukhro, E. I. and Makarenko, N. Yu. and Shumyatsky, P. (2015) Locally finite groups containing a $2$-element with Chernikov centralizer. [MIMS Preprint]

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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.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User: Professor Evgeny Khukhro
Date Deposited: 24 Feb 2015
Last Modified: 08 Nov 2017 18:18
URI: https://eprints.maths.manchester.ac.uk/id/eprint/2258

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