Integral group ring of Rudvalis simple group

Abstract

Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Rudvalis sporadic simple group Ru. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.

8 pages; updated bibliography; improved presentation of results in the main theorem

References in corpus (3)

• Partial augmentations and Brauer character values of torsion units in group rings
• Integral group ring of the Mathieu simple group M23
• Integral group ring of the Mathieu simple group M24