Locally finite groups with bounded centralizer chains
Group Theory
2018-10-30 v1
Abstract
The c-dimension of a group G is the maximal length of a chain of nested centralizers in G. We prove that a locally finite group of finite c-dimension k has less than 5k nonabelian composition factors.
Cite
@article{arxiv.1311.6903,
title = {Locally finite groups with bounded centralizer chains},
author = {Alexandr Buturlakin and Andrey V. Vasil'ev},
journal= {arXiv preprint arXiv:1311.6903},
year = {2018}
}
Comments
4 pages