Locally finite groups containing a $2$-element with Chernikov centralizer
Group Theory
2014-10-08 v1
Abstract
Suppose that a locally finite group has a -element with Chernikov centralizer. It is proved that if the involution in has nilpotent centralizer, then has a soluble subgroup of finite index.
Cite
@article{arxiv.1410.1521,
title = {Locally finite groups containing a $2$-element with Chernikov centralizer},
author = {E. I. Khukhro and N. Yu. Makarenko and P. Shumyatsky},
journal= {arXiv preprint arXiv:1410.1521},
year = {2014}
}