Generators of large subgroups of the unit group of integral group rings
Pursuing work of the reviewer and \textit{S. K. Sehgal} [e.g. Trans. Am. Math. Soc. 324, No. 2, 603-621 (1991; Zbl 0723.16016)], the authors prove that the Bass-Milnor units and the bicyclic units generate a subgroup of finite index in the whole unit group of the integral group ring \(\mathbb{Z} G\) of a finite group \(G\), provided that \(G\) is not from some exceptional list consisting of certain groups of even order. The main new contribution of the paper consists in the construction of a non-trivial idempotent in a given simple component of the rational group algebra \(\mathbb{Q} G\).
scientific article; zbMATH DE number 492765
scientific article