Torsion Units in Integral Group Ring of the Mathieu Simple Group<i>M</i>₂₂

Abstract

Abstract We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the 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.