TL;DR
This paper classifies finite quasisimple groups with perfect commuting graphs and provides a general structure theorem for all finite groups with this property, advancing understanding of group-theoretic graph structures.
Contribution
It offers a complete classification of quasisimple groups with perfect commuting graphs and a general framework for finite groups exhibiting this property.
Findings
Classification of quasisimple groups with perfect commuting graphs
A general structure theorem for finite groups with perfect commuting graphs
Enhanced understanding of the relationship between group structure and graph perfection
Abstract
We classify the finite quasisimple groups whose commuting graph is perfect and we give a general structure theorem for finite groups whose commuting graph is perfect.
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