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If G is a finite group and X a conjugacy class of elements of G, then we define rank(G: X) to be the minimum number of elements of X generating G. In the present article, we determine the ranks for the Fischer's simple group Fi'24 and the baby monster group B. [ABSTRACT FROM AUTHOR]

IfGis a finite group andXa conjugacy class of elements ofG, then we define rank(G:X) to be the minimum number of elements ofXgeneratingG. Moori investigated rank(Fi22:X), whereXis a conjugacy class of involutions in the Fischer groupFi22. In the present article, we completely determine the ranks of the Fischer groupFi22by computing rank(Fi22:X), whereXis any conjugacy class ofFi22. [ABSTRACT FROM AUTHOR]

If G is a finite group and X a conjugacy class of elements of G, then we define rank(G : X) to be the minimum number of elements of X generating G. In the present paper we study the rank(Ji : X) for all conjugacy classes of Ji, where i = 1; 2; 3; 4. [ABSTRACT FROM AUTHOR]

Abstract: Let G be a finite group and X a conjugacy class of G. We denote 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 O’Nan sporadic simple group O’N and the Lyons sporadic simple group, Ly. Computations were carried with the aid of the computer algebra system [The GAP Group, —Groups, Algorithms and Programming, Version 4.3, Aachen, St Andrews, 2003, http://www.gap-system.org ]. [Copyright &y& Elsevier]

Let G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum number of elements of X generating G. In the present article, we determine the ranks of the Conway groups Co2 and Co3. Computations were carried with the aid of computer algebra system 픾픸ℙ [18]. [ABSTRACT FROM AUTHOR]

Let G be a finite group and X a conjugacy class of G. We denote rank(G:X) to be the minimum number of elements of X generating G. In the present article, we determine the ranks of the Conway groups Co2 and Co3. Computations were carried with the aid of computer algebra system 픾픸ℙ [18]. [ABSTRACT FROM AUTHOR]