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Akadémiai Kiadó, Studia Scientiarum Mathematicarum Hungarica, 1(47), p. 1-11, 2010

DOI: 10.1556/sscmath.2009.1102

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

This paper is available in a repository.
This paper is available in a repository.

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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 the Kimmerle's conjecture on prime graphs for this sporadic group.