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)).

引用

页码：471 / 478

页数：8

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