Integral group ring of Rudvalis simple group

Mathematics – Rings and Algebras

Scientific paper

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8 pages; updated bibliography; improved presentation of results in the main theorem

Scientific paper

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

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