Units of Integral Group Rings of Some Metacyclic Groups

Abstract

Abstract In this paper, we consider all metacyclic groups of the type 〈 a , b | a n - 1, b 2 = 1, ba = a i b 〉 and give a concrete description of their rational group algebras. As a consequence we obtain, in a natural way, units which generate a subgroup of finite index in the full unit group, for almost all such groups.