Describing the group of units of integral grouprings ℤD8 and ℤD12
Abstract
Let D2n be the dihedral group of order 2n. In this paper, we provide a description for the group of units U(ℤD8) and U(ℤD12). For both of these dihedral groups, their corresponding torsion free normal complements are also characterized in their respective groups of normalized units.
Communicated by R. P. Sharma