Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771688 | Journal of Algebra | 2018 | 6 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Brent B. Solie,