Zwelethemba Mpono - University of South Africa

M_{۲۴} is the largest Mathieu sporadic simple group of order ۲۴۴ ۸۲۳ ۰۴۰ = ۲^{۱۰} {\cdot} ۳^۳ {\cdot} ۵ {\cdot} ۷ {\cdot} ۱۱ {\cdot} ۲۳ and contains all the other Mathieu sporadic simple groups as subgroups. The object in this paper is to study the ranks of M_{۲۴} with respect to the conjugacy classes of all its nonidentity elements.

Rank, Generations, structure constants, class fusions, maximal subgroups