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Integral group ring of the Suzuki sporadic simple group. (English) Zbl 1156.16022

Summary: Using the Luthar-Passi method, we investigate the classical Zassenhaus conjecture for the normalized unit group of the integral group ring of the Suzuki sporadic simple group \(Suz\). As a consequence for this group we confirm Kimmerle’s 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:

LAGUNA; GAP
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