KIMMERLE CONJECTURE FOR THE HELD AND O’NAN SPORADIC SIMPLE GROUPS

V. BOVDI; A. GRISHKOV; A. KONOVALOV

doi:10.32219/isms.69.3_353

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Keywords: Zassenhaus conjecture, Kimmerle conjecture, torsion unit, partial augmentation, integral group ring, ﬁnite simple group, Held group, O’Nan group

JOURNAL FREE ACCESS

2009 Volume 69 Issue 3 Pages 353-362

DOI https://doi.org/10.32219/isms.69.3_353

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Abstract

Using the Luthar–Passi method, we investigate the Zassenhaus and Kimmerle conjectures for normalized unit groups of integral group rings of the Held and O’Nan sporadic simple groups. We conﬁrm the Kimmerle conjecture for the Held simple group and also derive for both groups some extra information relevant to the classical Zassenhaus conjecture.

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