Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47882120160101On the Ranks of Finite Simple Groups18241551110.22034/kjm.2016.15511ENAyoub B.M.BasheerDepartment of Mathematical Sciences, North-West University (Mafikeng),
P Bag X2046, Mmabatho 2735, South Africa.Jamshid MooriDepartment of Mathematical Sciences, North-West University (Mafikeng),
P Bag X2046, Mmabatho 2735, South Africa.Journal Article20160102Let $G$ be a finite group and let $X$ be a conjugacy class of $G.$ The rank of $X$ in $G,$ denoted by $rank(G{:}X)$ is defined to be the minimal number of elements of $X$ generating $G.$ In this paper we review the basic results on generation of finite simple groups and we survey the recent developments on computing the ranks of finite simple groups.http://www.kjm-math.org/article_15511_b3a6914aa8de55c274348d988d79bcd8.pdf