The conjugacy class ranks of $M_{24}$

نویسندگان

1 University of South Africa

doi
10.22108/ijgt.2017.21477
چکیده

$M_{24}$ is the largest Mathieu sporadic simple group of order $244 823 040 = 2^{10} {\cdot} 3^3 {\cdot} 5 {\cdot} 7 {\cdot} 11 {\cdot} 23$ and contains all the other Mathieu sporadic simple groups as subgroups. The object in this paper is to study the ranks of $M_{24}$ with respect to the conjugacy classes of all its nonidentity elements.