ON THE RANKS OF Fi22

被引:7
|
作者
Ali, Faryad [1 ]
机构
[1] Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math, Riyadh 11623, Saudi Arabia
关键词
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).
引用
收藏
页码:591 / 600
页数:10
相关论文
共 50 条