2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129050Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Higman-Sims simple sporadic group HS. As a consequence, we confirm the Kimmerle's conjecture on prime graphs for this sporadic group.10 pagesRings and AlgebrasGroup Theorytext