On Torsion Units in Integral Group Ring of A Type of Cyclic-by-Abelian Groups

In this paper, using a complex representation of degree 2 of the group U_{12} which is given in \cite{gamesliebeckU12} and belongs to the class of cyclic-by-abelian groups \cite{caicedo}, we investigate some parametric characteristics of normalized torsion units in integral group ring of U_{12} relying on the fact that all cyclic-by-abelian groups satisfy the first of Zassenhaus conjectures \cite{caicedo}.