Normed units in abelian group rings

Abstract

We compute explicitly the isomorphic structure of the normalized unit group of an abelian group ring under some minimal natural restrictions on the group basis and the coefficient ring. This enlarges affirmations due to Chatzidakis-Pappas ( J. London Math. Soc. , 1991) and Mollov ( Publ. Math. Debrecen , 1971).