Bovdi, Victor A.; Konovalov, Alexander B. Torsion units in integral group ring of Higman-Sims simple group. (English) Zbl 1221.16026 Stud. Sci. Math. Hung. 47, No. 1, 1-11 (2010). As a continuation of a series of papers by the authors, for instance, a recent one is [Commun. Algebra 36, No. 7, 2670-2680 (2008; Zbl 1148.16027)], for the integral group ring of the Higman-Sims simple group \(HS\) the Kimmerle conjecture on prime graphs is verified by a method due to I. S. Luthar and I. B. S. Passi. Reviewer: János Kurdics (Nyíregyháza) Cited in 1 ReviewCited in 8 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 conjecture; Kimmerle conjecture; prime graphs; torsion units; partial augmentations; integral group rings; Higman-Sims sporadic group Citations:Zbl 1148.16027 Software:LAGUNA; GAP PDFBibTeX XMLCite \textit{V. A. Bovdi} and \textit{A. B. Konovalov}, Stud. Sci. Math. Hung. 47, No. 1, 1--11 (2010; Zbl 1221.16026) Full Text: DOI arXiv