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

V. BOVDI; A. GRISHKOV; A. KONOVALOV

doi:10.32219/isms.69.3_353

著者情報

キーワード: Zassenhaus conjecture, Kimmerle conjecture, torsion unit, partial augmentation, integral group ring, ﬁnite simple group, Held group, O’Nan group

ジャーナルフリー

2009 年 69 巻 3 号 p. 353-362

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

詳細

抄録

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.

責任著者(Corresponding author)

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