## Integral group ring of the McLaughlin simple group.(English)Zbl 1159.16028

Summary: We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group $$McL$$. As a consequence, we confirm for this group the Kimmerle conjecture on prime graphs.

### 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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