%0 Journal Article %T Zassenhaus conjecture for cyclic-by-abelian groups %A Mauricio Caicedo %A Leo Margolis %A ¨¢ngel del R¨ªo %J Mathematics %D 2012 %I arXiv %X Zassenhaus Conjecture for torsion units states that every augmentation one torsion unit of the integral group ring of a finite group G is conjugate to an element of G in the units of rational group algebra QG. This conjecture has been proved for nilpotent groups, metacyclic groups and some other families of groups. We prove the conjecture for cyclic-by-abelian groups. %U http://arxiv.org/abs/1202.3877v1