Geodesic
Cocliques of maximal size in the prime graph of a finite simple group
Algebra i logika, Tome 50 (2011) no. 4, pp. 425-470

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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.
Keywords: finite simple group, group of Lie type, prime graph
Mots-clés : coclique. 
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     author = {A. V. Vasil'ev and E. P. Vdovin},
     title = {Cocliques of maximal size in the prime graph of a~finite simple group},
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     publisher = {mathdoc},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2011_50_4_a0/}
}
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A. V. Vasil'ev; E. P. Vdovin. Cocliques of maximal size in the prime graph of a finite simple group. Algebra i logika, Tome 50 (2011) no. 4, pp. 425-470. http://geodesic.mathdoc.fr/item/AL_2011_50_4_a0/