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Torsion Units in Integral Group Ring of the Mattieu Simple Group M22

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Abstract

We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M-22. We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.

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Original languageEnglish
Pages (from-to)28-39
Number of pages12
JournalLMS Journal of Computation and Mathematics
Volume11
DOIs
StatePublished - 2008

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