The conjugacy class ranks of $M_{24}$

$M_{24}$ 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 clas...

Full description

Bibliographic Details
Main Author: Zwelethemba Mpono
Format: Article
Language:English
Published: University of Isfahan 2017-12-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://ijgt.ui.ac.ir/article_21477_6cfa78b3346ee6b6396dfb71e724aa80.pdf
Description
Summary:$M_{24}$ 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.
ISSN:2251-7650
2251-7669