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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

Software:

GAP; LAGUNA
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