The commuting graph of a soluble group
Group Theory
2014-02-26 v1
Abstract
The commuting graph of a finite soluble group with trivial centre is investigated. It is shown that the diameter of such a graph is at most 8 or the graph is disconnected. Examples of soluble groups with trivial centre and commuting graph of diameter 8 are provided.
Cite
@article{arxiv.1209.2279,
title = {The commuting graph of a soluble group},
author = {Chris Parker},
journal= {arXiv preprint arXiv:1209.2279},
year = {2014}
}