## Torsion units in integral group ring of the Mathieu simple group $$M_{22}$$.(English)Zbl 1225.16017

Summary: 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.

### MSC:

 16U60 Units, groups of units (associative rings and algebras) 20C05 Group rings of finite groups and their modules (group-theoretic aspects) 16S34 Group rings 20D08 Simple groups: sporadic groups

GAP; LAGUNA
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### References:

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