Bovdi, V. A.; Konovalov, A. B. Integral group ring of the McLaughlin simple group. (English) Zbl 1159.16028 Algebra Discrete Math. 2007, No. 2, 43-53 (2007). 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. Cited in 5 Documents 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 Keywords:Zassenhaus conjectures; Kimmerle conjecture; torsion units; partial augmentations; integral group rings; McLaughlin simple group; groups of units; prime graphs Software:LAGUNA; GAP PDFBibTeX XMLCite \textit{V. A. Bovdi} and \textit{A. B. Konovalov}, Algebra Discrete Math. 2007, No. 2, 43--53 (2007; Zbl 1159.16028) Full Text: arXiv