Integral group ring of the Mathieu simple group M24

Abstract

We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group $M_{24}$. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.

12 pages

References in corpus (3)

• Partial augmentations and Brauer character values of torsion units in group rings
• Torsion units in integral group rings of Janko simple groups
• Torsion units in integral group ring of the Mathieu simple group M22

Cited by in corpus (2)

• Integral group ring of the McLaughlin simple group
• Integral group ring of Rudvalis simple group