Bilgin, T.2025-05-102025-05-1020041300-686X10.3390/mca90100732-s2.0-0042363500https://doi.org/10.3390/mca9010073https://search.trdizin.gov.tr/en/yayin/detay/1022/parametrization-of-torsion-units-in-u1zs3https://hdl.handle.net/20.500.14720/20356In this study, a representation of the group ring ZS3 is obtained by using a faithful irreducible representation of S3 of degree 2. In ZS3, all torsion units are expressed in terms of parameters by means of this representation. It is shown that any torsion unit in U1 (ZS3) can be expressed in terms of two parameters.eninfo:eu-repo/semantics/openAccessParametrizationTorsion UnitsArticle91N/AN/A73771022