Integral group ring of Rudvalis simple group

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 the Kimmerle conjecture on prime graphs.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2009-01, Vol.61 (1), p.1-13
Main Authors: Bovdi, V. A., Konovalov, A. B.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary: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 the Kimmerle conjecture on prime graphs.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-009-0199-8