On the ranks of Fischer group $Fi_{24}^{\,\prime}$ and the Baby Monster group $\mathbb{B}$

Document Type: Research Paper

Authors

1 Najran University

2 Al Imam Mohammad Ibn Saud Islamic University

3 Al Imam Mohammed Ibn Saud Islamic University

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 $G$‎. ‎In the present article‎, ‎we‎ ‎determine the ranks for the Fischer's simple group $Fi_{24}^{\prime}$‎ ‎and the baby monster group $\mathbb{B}$‎.

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