2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/208303Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Rudvalis sporadic simple group Ru. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.8 pages; updated bibliography; improved presentation of results in the main theoremRings and AlgebrasGroup Theory16S34; 20C05; 20D08text