Torsion units in integral group ring of the Mathieu simple group M22

Abstract

We 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 references

References in corpus (1)

• Integral group ring of the Mathieu simple group M23

Cited by in corpus (1)

• Integral group ring of the Mathieu simple group M24