Abstract
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. Moori investigated rank(Fi
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:X), where X is a conjugacy class of involutions in the Fischer group Fi
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. In the present article, we completely determine the ranks of the Fischer group Fi
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by computing rank(Fi
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:X), where X is any conjugacy class of Fi
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.