Torsion units in integral group ring of Higman-Sims Simple Group

Bódi, Viktor and Konovalov, A. B. (2010) Torsion units in integral group ring of Higman-Sims Simple Group. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 47 (1). pp. 1-11. ISSN 0081-6906

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Abstract

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

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