Integral group ring of the Mathieu simple group M24

2007/05/14 by V. A. Bovdi, Bovdi, V. A., A. B. Konovalov +1
Mathematics · #16S34 #20C05 #20D08 #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:16S34 #msc:20C05 #msc:20D08

paper · pdf · doi:10.48550/arxiv.0705.1992

12 pages

arxiv created 2007/05/14 · arxiv updated 2009/12/01

Abstract

We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the Mathieu sporadic group M₂₄. As a consequence, for this group we confirm Kimmerle's conjecture on prime graphs.

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• Integral group ring of the Mathieu simple group M23
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