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Mpono, Z. (2017). The conjugacy class ranks of $M_{24}$. International Journal of Group Theory, 6(4), 53-58. doi: 10.22108/ijgt.2017.21477
Zwelethemba Mpono. "The conjugacy class ranks of $M_{24}$". International Journal of Group Theory, 6, 4, 2017, 53-58. doi: 10.22108/ijgt.2017.21477
Mpono, Z. (2017). 'The conjugacy class ranks of $M_{24}$', International Journal of Group Theory, 6(4), pp. 53-58. doi: 10.22108/ijgt.2017.21477
Mpono, Z. The conjugacy class ranks of $M_{24}$. International Journal of Group Theory, 2017; 6(4): 53-58. doi: 10.22108/ijgt.2017.21477

The conjugacy class ranks of $M_{24}$

Article 5, Volume 6, Issue 4, December 2017, Page 53-58  XML PDF (182 K)
Document Type: Research Paper
DOI: 10.22108/ijgt.2017.21477
Author
Zwelethemba Mpono
University of South Africa
Abstract
$M_{24}$ 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.
Keywords
Rank; Generations; structure constants; class fusions; maximal subgroups
Main Subjects
20C15 Ordinary representations and characters
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