the conjugacy class ranks of $m_{24}$
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نویسنده
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mpono zwelethemba
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منبع
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international journal of group theory - 2017 - دوره : 6 - شماره : 4 - صفحه:53 -58
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چکیده
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$m_{24}$ 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.
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کلیدواژه
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classes of elements; rank of a group; (p; q; r)-generations; structure constants; conjugacy class fusions; maximal sub-groups.
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آدرس
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university of south africa, department of mathematical sciences, south africa
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پست الکترونیکی
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mponoze@unisa.ac.za
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