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.

arXiv comment12 pages (8 pages + appendix), updated references

References in corpus (2)

• Torsion units in integral group rings of Janko simple groups
• Integral group ring of the Mathieu simple group M23

Cited by in corpus (3)

• On the Prime Graph Question for Integral Group Rings of 4-primary groups II
• Algorithmic aspects of units in group rings
• Integral group ring of the Mathieu simple group M24