Bicyclic units, Bass cyclic units and free groups

Jairo Z. Goncalves, Angel del Rio

Let $G$ be a finite group and $\mathbb{Z}G$ its integral group ring. We show that if $\alpha$ is a non-trivial bicyclic unit of $\mathbb{Z}G$, then there are bicyclic units $\beta$ and $\gamma$ of different t…