Locally finite groups of finite centraliser dimension

TL;DR

This paper investigates the structure of locally finite groups that have finite centraliser dimension, providing insights into their algebraic properties and classification.

Contribution

It offers a detailed description of the structure of locally finite groups with finite centraliser dimension, a topic not extensively covered before.

Findings

Characterization of locally finite groups with finite centraliser dimension

Structural theorems describing these groups

Potential classification results

Abstract

We describe structure of locally finite groups of finite centraliser dimension.