On the primitive irreducible representations of finitely generated linear groups of finite rank

被引：0

作者：

Tushev, A., V ^{[1
]}

机构：

[1] Dnipro Natl Univ, Dept Math, Gagarin Ave 72, UA-49065 Dnipro, Ukraine

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 04期

关键词：

Linear groups; finite rank; induced modules; primitive representation; GROUP-ALGEBRAS; SOLUBLE GROUPS; GROUP-RINGS; MODULES; IDEALS;

D O I：

10.1142/S1793557122500681

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we study finitely generated linear groups of finite rank which have faithful irreducible primitive representations over a field of characteristic zero. We prove that if an infinite finitely generated linear group G of finite rank has a faithful irreducible primitive representation over a field of characteristic zero then the FC-center Delta(G) of G is infinite.

引用

页数：32

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