MAXIMUM SUM ELEMENT ORDERS OF ALL PROPER SUBGROUPS OF PGL(2, q)

被引:0
作者
Amiri, S. M. Jafarian [1 ]
机构
[1] Univ Zanjan, Dept Math, Zanjan, Iran
来源
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2013年 / 39卷 / 03期
关键词
Linear groups; maximal subgroups; element order;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we show that if q is a power of a prime p, then the projective special linear group PSL(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group PGL(2, q) for q odd and even respectively.
引用
收藏
页码:501 / 505
页数:5
相关论文
共 4 条
[1]   SUM OF ELEMENT ORDERS OF MAXIMAL SUBGROUPS OF THE SYMMETRIC GROUP [J].
Amiri, H. ;
Amiri, S. M. Jafarian .
COMMUNICATIONS IN ALGEBRA, 2012, 40 (02) :770-778
[2]   SUMS OF ELEMENT ORDERS IN FINITE GROUPS [J].
Amiri, Habib ;
Amiri, S. M. Jafarian ;
Isaacs, I. M. .
COMMUNICATIONS IN ALGEBRA, 2009, 37 (09) :2978-2980
[3]  
[Anonymous], 1967, ENDLICHE GRUPPEN
[4]  
Dickson Leonard Eugene, 1958, Linear Groups: With an Exposition of the Galois Field Theory