A RECOGNITION OF SIMPLE GROUPS PSL(3,q) BY THEIR ELEMENT ORDERS

被引：0

作者：

M.R.Darafsheh

A.R.Moghaddamfar

A.R.Zokayi

机构：

[1] Department of Mathematics and Computer Sciences

[2] Faculty of Science

[3] University of Tehran

[4] Iran

[5] K. N. T University of Technology

[6] P.O. Boz 16315-1618

[7] Tehuan

来源：

Acta Mathematica Scientia | 2004年 / 01期

关键词：

Element order; prime graph; projective special linear group;

D O I：

暂无

中图分类号：

O152 [群论];

学科分类号：

070104 ;

摘要：

For any group G, denote byπe(G) the set of orders of elements in G. Given a finite group G, let h(πe (G)) be the number of isomorphism classes of finite groups with the same set πe(G) of element orders. A group G is called k-recognizable if h(πe(G)) = k <∞, otherwise G is called non-recognizable. Also a 1-recognizable group is called a recognizable (or characterizable) group. In this paper the authors show that the simple groups PSL(3,q), where 3 < q≡±2 (mod 5) and (6, (q-1)/2) = 1, are recognizable.

引用

页码：45 / 51

页数：7

共 21 条

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