The commuting graph and a graph associated with centralizers
Group Theory
2025-11-18 v1
Abstract
Let be a -group. We begin to consider the relationship between the structure of the commuting graph and . We also build a family of groups whose commuting graphs have more than one connected component whose diameter is at least . For this, we introduce another graph related to the commuting graph that is associated with centralizers.
Cite
@article{arxiv.2511.11926,
title = {The commuting graph and a graph associated with centralizers},
author = {Mark L. Lewis and Ryan McCulloch},
journal= {arXiv preprint arXiv:2511.11926},
year = {2025}
}