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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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.
| 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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