On the ranks of ON and Ly
Let G be a finite group and X a conjugacy class of G . We denote rank(G:X) rank ( G : X ) to be the minimum number of elements of X generating G . In the present article, we determine the ranks for two sporadic simple groups, namely the ONan sporadic simple group ON and the Lyons sporadic simple group, Ly. Computations were carried with the aid of the computer algebra system GAP GAP [The GAP Group, GAP GAP Groups, Algorithms and Programming, Version 4.3, Aachen, St Andrews, 2003, ? ? http://www.gap-system.org? ? ].
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