Zassenhaus conjecture for cyclic-by-abelian groups
  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. 
Mauricio Caicedo, Leo Margolis, \'Angel del R\'io
math.RT math.GR math.RA