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

Bovdi, V. A.; Konovalov, A. B.; Linton, S.

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

Authors

Bovdi, V. A.

Konovalov, A. B.

Linton, S.

Description

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