Group rings with \(FC\)-nilpotent unit groups
Let \(G\) be a group, \(K\) a field of characteristic zero and \( U(KG)\) the unit group of the group algebra \(KG\). Some necessary and sufficient conditions for \(U(\mathbb{Z} G)\) and \(U(KG)\) to be \(FC\)-nilpotent are given.
scientific article; zbMATH DE number 31627