A characterization of the simple group PSL5(5) by the set of its element orders

被引：0

作者：

Darafsheh, M. R. ^{[1
]}

Sadrudini, A. ^{[2
]}

机构：

[1] Univ Tehran, Coll Sci, Sch Math, Tehran, Iran

[2] Tarbiat Modares Univ, Tehran, Iran

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2008年 / 49卷 / 03期

关键词：

projective special linear group; element order;

D O I：

10.1007/s11202-008-0041-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and let omega(G) denote the set of the element orders of G. For the simple group PSL5(5) we prove that if G is a finite group with omega(G) = omega(PSL5(5)), then either G congruent to PSL5(5) or G congruent to PSL5(5): <theta > where theta is a graph automorphism of PSL5(5) of order 2.

引用

页码：418 / 422

页数：5

共 18 条

[1] THE CHARACTERIZATION OF PSL(2, Q) BY ITS ELEMENT ORDERS [J].