Finite groups of units and their composition factors in the integral group rings of the groups $\text{PSL}(2,q)$

Martin Hertweck, Christian R. Höfert, Wolfgang Kimmerle

Let $G$ denote the projective special linear group $\text{PSL}(2,q)$, for a prime power $q$. It is shown that a finite 2-subgroup of the group $V(\mathbb{Z}G)$ of augmentation 1 un…