Integral group ring of the McLaughlin simple group

V. A. Bovdi, A. B. Konovalov

Abstract


We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group \(\verb"McL"\). As a consequence, we confirm for this group the Kimmerle's conjecture on prime graphs.


Keywords


Zassenhaus conjecture, Kimmerle conjecture, torsion unit, partial augmentation, integral group ring

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