Characterization of the Linear Groups PSL(2, p)

被引：0
|
作者：
Asboei, Alireza Khalili [1 ]
Amiri, Syyed Sadegh Salehi [2 ]
机构：
[1] Farhangian Univ, Dept Math, Shariati Mazandaran, Iran
[2] Islamic Azad Univ, Dept Math, Babol Sar, Iran
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2014年 / 38卷 / 04期
关键词：
Element order; Set of the numbers of elements of the same order; Linear group;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a finite group and pi(e)(G) be the set of element orders of G. Let k epsilon pi(e)(G) and m k be the number of elements of order k in G. Set nse(G):={m(k) vertical bar k epsilon(G)}. In this paper, it is proved if G is a group with the following properties, then G congruent to PSL(2, p). 1) p is the prime divisor of order G but p(2) not divide order of G. 2) nse(G)= nse(PSL(2, p)).
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页码：471 / 478
页数：8
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