Complex group algebras of almost simple groups with socle PSLn(q)

被引：4

作者：

Shirjian, Farrokh ^{[1
]}

Iranmanesh, Ali ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Fac Math Sci, Dept Math, POB 14115-137, Tehran, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 02期

关键词：

Almost simple groups; character degrees; complex group algebras; LIE TYPE; REPRESENTATIONS; CHARACTERS;

D O I：

10.1080/00927872.2017.1324868

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a finite group, n >= 3, and q be a prime bower such that q - 1 divides neither n nor n -1, Denote by X-1 (H) the first column of the ordinary character table of H. Let G be a finite group such that PSLn- (q) <= G <= PGL(n)(q). In this paper, we will show that if X-1 (H) = X-1 (G), then H congruent to G. As a consequence' we show that the almost simple groups,G are uniquely determined by the structure of their complex group algebras. This extends a result of Tong -Viet [30] to a family of almost simple groups of Lie type of arbitrary rank

引用

页码：552 / 573

页数：22

共 32 条

[11] Characterizing Finite Quasisimple Groups by Their Complex Group Algebras [J].