2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128862We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of Mathieu sporadic group $M_{22}$. We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.12 pages (8 pages + appendix), updated referencesRings and AlgebrasGroup Theory16S34; 20C05; 20D08Torsion units in integral group ring of the Mathieu simple group M22text