Cocliques of maximal size in the prime graph of a finite simple group

TL;DR

This paper classifies all maximal cocliques in the prime graph of finite simple groups, correcting previous errors and extending the understanding of their structure.

Contribution

It provides a complete description of maximal cocliques in the prime graph of all finite simple groups, including corrections to earlier work.

Findings

Complete classification of maximal cocliques in prime graphs

Corrections and clarifications of previous results

Enhanced understanding of prime graph structure in finite simple groups

Abstract

In this paper we continue our investgation of the prime graph of a finite simple group started in http://arxiv.org/abs/math/0506294 (the printed version appeared in [1]). We describe all cocliques of maximal size for all finite simple groups and also we correct mistakes and misprints from our previous paper. The list of correction is given in Appendix of the present paper.