1.Sobolev Institute of Mathematics, Siberian Branch,Russian Academy of Sciences,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia
Abstract:
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.