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

摘要

AbstractWe use a recent result of Alexander and Nishinaka to show that ifGis a non-elementary torsion-free hyperbolic group andRis a countable domain, then the group ringRGis primitive. This implies that the group ringKGof any non-elementary torsion-free hyperbolic groupGover a fieldKis primitive.]]>