Integral Group Ring of the Mathieu Simple Group M23

We investigate the classical Zassenhaus conjecture for the unit group of the integral group ring of Mathieu simple group M23 using the Luthar-Passi method. This work is a continuation of the research that we carried out for Mathieu groups M11 and M12. As a consequence, for this group we confirm Kimm...

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Bibliographic Details
Published in:Communications in algebra 2008-07, Vol.36 (7), p.2670-2680
Main Authors: Bovdi, V A, Konovalov, A B
Format: Article
Language:English
Online Access:Get full text
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Summary:We investigate the classical Zassenhaus conjecture for the unit group of the integral group ring of Mathieu simple group M23 using the Luthar-Passi method. This work is a continuation of the research that we carried out for Mathieu groups M11 and M12. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927870802068045