Parametrization of torsion units in U_1(ZS_3)

Abstract

In this study, a representation of the group ring $ZS_3$ is obtained by using a faithful irreducible representation of $S_3$ of degree 2. In $ZS_3$, all torsion units are expressed in terms of parameters by means of this representation. It is shown that any torsion unit in $U_1(ZS_3)$ can be expressed in terms of two parameters.