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

来源：

QUAESTIONES MATHEMATICAE | 2014年 / 37卷 / 04期

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

页码：591 / 600

页数：10

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