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arxiv: 0705.2391 · v1 · submitted 2007-05-16 · 🧮 math.RA · math.GR

Torsion units in integral group ring of Higman-Sims simple group

classification 🧮 math.RA math.GR
keywords groupconjecturehigman-simsintegralringsimplesporadicclassical
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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.

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