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Torsion units in integral group ring of Higman-Sims simple group. (English) Zbl 1221.16026

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.

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

Citations:

Zbl 1148.16027

Software:

LAGUNA; GAP
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