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(Fi22:X), where X is a conjugacy class of involutions in the Fischer group Fi22. In the present article, we completely determine the ranks of the Fischer group Fi22 by computing rank(Fi22:X), where X is any conjugacy class of Fi22.

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