2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116527We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group $S_{5}$ and for the general linear group $\text{GL}(2,5)$.9 pagesRings and AlgebrasGroup Theory16S34;16U60; 20C05Zassenhaus conjecture for central extensions of $S_{5}$text