2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170415Let $G$ 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 units in the integral group ring $\mathbb{Z}G$ of $G$ is isomorphic to a subgroup of $G$. Furthermore, it is shown that a composition factor of a finite subgroup of $V(\mathbb{Z}G)$ is isomorphic to a subgroup of $G$.10 pagesGroup TheoryRings and Algebras16S34, 16U60 (Primary) 20C05 (Secondary)text