Integral group ring of Rudvalis simple group
V.A. Bovdi, A.B. Konovalov
TL;DR
This paper investigates the Zassenhaus conjecture for the Rudvalis sporadic simple group using the Luthar-Passi method and confirms Kimmerle's conjecture on prime graphs for this group.
Contribution
It applies the Luthar-Passi method to a new sporadic simple group and confirms Kimmerle's conjecture for it.
Findings
Confirmed Kimmerle's conjecture on prime graphs for the Rudvalis group
Validated the Zassenhaus conjecture for the normalized unit group of the integral group ring of Ru
Extended the application of the Luthar-Passi method to a sporadic simple group
Abstract
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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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography · Rings, Modules, and Algebras