Primitivity of group rings of non-elementary torsion-free hyperbolic groups

被引：1

作者：

Solie, Brent B. ^{[1
]}

机构：

[1] Embry Riddle Aeronaut Univ, Dept Math, 3700 Willow Creek Rd, Prescott, AZ 86301 USA

来源：

JOURNAL OF ALGEBRA | 2018年 / 493卷

关键词：

Primitive group rings; Hyperbolic groups;

D O I：

10.1016/j.jalgebra.2017.09.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use a recent result of Alexander and Nishinaka to show that if G is a non-elementary torsion-free hyperbolic group and R is a countable domain, then the group ring RG is primitive. This implies that the group ring KG of any non-elementary torsion-free hyperbolic group G over a field K is primitive. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：438 / 443

页数：6