Cocliques of maximal size in the prime graph of a finite simple group
A prime graph of a finite group is defined in the following way: the set of vertices of the graph is the set of prime divisors of the order of the group, and two distinct vertices r and s are joined by an edge if there is an element of order rs in the group. We describe all cocliques of maximal size for finite simple groups.
Keywordsfinite simple group group of Lie type prime graph coclique
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