The conjugacy class ranks of $M_{24}$

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...

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Bibliographic Details
Main Author: Zwelethemba Mpono
Format: Article
Language:English
Published: University of Isfahan 2017-12-01
Series:International Journal of Group Theory
Subjects:
Rank
Generations
structure constants
class fusions
maximal subgroups
Online Access:http://ijgt.ui.ac.ir/article_21477_6cfa78b3346ee6b6396dfb71e724aa80.pdf
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spelling doaj-bac8d58bb2c24828930dc0fe33f67b7b2020-11-25T02:36:25ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692017-12-0164535810.22108/ijgt.2017.2147721477The conjugacy class ranks of $M_{24}$Zwelethemba Mpono0University of South Africa$M_{24}$ 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.http://ijgt.ui.ac.ir/article_21477_6cfa78b3346ee6b6396dfb71e724aa80.pdfRankGenerationsstructure constantsclass fusionsmaximal subgroups
collection DOAJ
language English
format Article
sources DOAJ
author Zwelethemba Mpono
spellingShingle Zwelethemba Mpono
The conjugacy class ranks of $M_{24}$
International Journal of Group Theory
Rank
Generations
structure constants
class fusions
maximal subgroups
author_facet Zwelethemba Mpono
author_sort Zwelethemba Mpono
title The conjugacy class ranks of $M_{24}$
title_short The conjugacy class ranks of $M_{24}$
title_full The conjugacy class ranks of $M_{24}$
title_fullStr The conjugacy class ranks of $M_{24}$
title_full_unstemmed The conjugacy class ranks of $M_{24}$
title_sort conjugacy class ranks of $m_{24}$
publisher University of Isfahan
series International Journal of Group Theory
issn 2251-7650
2251-7669
publishDate 2017-12-01
description $M_{24}$ 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.
topic Rank
Generations
structure constants
class fusions
maximal subgroups
url http://ijgt.ui.ac.ir/article_21477_6cfa78b3346ee6b6396dfb71e724aa80.pdf
work_keys_str_mv AT zwelethembampono theconjugacyclassranksofm24
AT zwelethembampono conjugacyclassranksofm24
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