Locally finite groups of finite $c$-dimension
Group Theory
2018-05-03 v1
Abstract
The supremum of lengths of strict chains of nested centralizers is called the -dimension (centralizer dimension) of . We prove two structure theorems for locally finite groups of finite -dimension. We also prove that the -dimension of the quotient of such a group by a locally soluble radical is bounded in terms of the -dimension of the group itself.
Keywords
Cite
@article{arxiv.1805.00910,
title = {Locally finite groups of finite $c$-dimension},
author = {A. A. Buturlakin},
journal= {arXiv preprint arXiv:1805.00910},
year = {2018}
}