## $$G$$-unipotent units in commutative group rings.(English)Zbl 1207.16039

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

### Citations:

Zbl 1182.16031; Zbl 1163.16019