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.
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Translated from Algebra i Logika, Vol. 50, No. 4, pp. 425–470, July-August, 2011.
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Vasil’ev, A.V., Vdovin, E.P. Cocliques of maximal size in the prime graph of a finite simple group. Algebra Logic 50, 291–322 (2011). https://doi.org/10.1007/s10469-011-9143-8
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DOI: https://doi.org/10.1007/s10469-011-9143-8