Recognition of PSL(2, p) x PSL(2, p) by its complex group algebra

被引：3

作者：

Khosravi, Behrooz ^{[1
]}

Momen, Zahra ^{[1
]}

Khosravi, Behnam ^{[2
]}

Khosravi, Bahman ^{[3
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Pure Math, 424 Hafez Ave, Tehran 15914, Iran

[2] Inst Adv Studies Basic Sci, Dept Math, Zanjan 4513766731, Iran

[3] Qom Univ Technol, Fac Sci, Dept Math, Qom 371951519, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2017年 / 16卷 / 02期

关键词：

Character degree; order; projective special linear group; characteristically simple group; CHARACTER DEGREE GRAPH; GROUP-RING; ORDER;

D O I：

10.1142/S0219498817500360

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that every quasisimple group except covers of the alternating groups is uniquely determined up to isomorphism by the structure of CL, the complex group algebra of L. One of the next natural groups to be considered are the characteristically simple groups. In this paper, as the first step in this investigation we prove that if p > 3 is an odd prime number, then PSL(2, p) x PSL(2, p) is uniquely determined by the structure of its complex group algebra.

引用

页数：9

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[1] ON A PROBLEM OF ARTIN E - TO ARTIN E - ON HIS 16TH BIRTHDAY [J].