机构:
Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math, Riyadh 11623, Saudi ArabiaAl Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math, Riyadh 11623, Saudi Arabia
Ali, Faryad
[1
]
机构:
[1] Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math, Riyadh 11623, Saudi Arabia
Fischer group Fi(22);
rank;
generator;
sporadic group;
MAXIMAL-SUBGROUPS;
D O I:
10.2989/16073606.2014.894692
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
If G is a finite group and X a conjugacy class of elements of G, then we define rank(G:X) to be the minimum number of elements of X generating G. Moori investigated rank(Fi(22):X), where X is a conjugacy class of involutions in the Fischer group Fi(22). In the present article, we completely determine the ranks of the Fischer group Fi(22) by computing rank(Fi(22):X), where X is any conjugacy class of Fi(22).