Danchev, Peter \(G\)-unipotent units in commutative group rings. (English) Zbl 1207.16039 Ann. Sci. Math. Qué. 33, No. 1, 39-44 (2009). Summary: We find a necessary and sufficient condition under which all normalized units in a commutative group ring with prime characteristic \(p>0\) are \(G\)-unipotent units. This continues our recent investigation on idempotent units in commutative group rings [published in Kochi J. Math. 4, 61-68 (2009; Zbl 1182.16031)] and also strengthens our own results [from Extr. Math. 23, No. 1, 49-60 (2008; Zbl 1163.16019)]. MSC: 16U60 Units, groups of units (associative rings and algebras) 16S34 Group rings 20C07 Group rings of infinite groups and their modules (group-theoretic aspects) 20K21 Mixed groups Keywords:normalized units; commutative group rings; unipotent units; idempotent units Citations:Zbl 1182.16031; Zbl 1163.16019 PDFBibTeX XMLCite \textit{P. Danchev}, Ann. Sci. Math. Qué. 33, No. 1, 39--44 (2009; Zbl 1207.16039)