University of Isfahan International Journal of Group Theory 2251-7650 8 1 2019 03 01 On the ranks of Fischer group $Fi_{24}^{\,\prime}$ and the Baby Monster group $\mathbb{B}$ 11 22 22709 10.22108/ijgt.2018.109973.1471 EN Mohammed Ali Faya Ibrahim Najran University Faryad Ali Al Imam Mohammad Ibn Saud Islamic University Mohammed A. Al-Kadhi Al Imam Mohammad Ibn Saud Islamic University Abdullah Mohammed Aljouiee Al Imam Mohammed Ibn Saud Islamic University Journal Article 2018 03 01 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 $\mathbb{B}$‎. https://ijgt.ui.ac.ir/article_22709_90a14c8661d74f129eb1fe4ba24834bb.pdf