V. A. Bovdi, A. V. Konovalov, “Integral group ring of the McLaughlin simple group”, Algebra Discrete Math., 2007, Issue 2,Pages <nobr>43

This article is cited in 13 papers

RESEARCH ARTICLE

Integral group ring of the McLaughlin simple group

V. A. Bovdi^a, A. V. Konovalov^b

^a Institute of Mathematics, University of Debrecen, P.O. Box 12, H–4010 Debrecen, Hungary Institute of Mathematics and Informatics, College of Nyíregyháza, Sóstói út 31/b, H–4410 Nyíregyháza, Hungary
^b School of Computer Science, University of St Andrews, Jack Cole Building, North Haugh, St Andrews, Fife KY16 9SX, Scotland

Abstract: We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group $\mathsf{McL}$. As a consequence, we confirm for this group the Kimmerle's conjecture on prime graphs.

Keywords: Zassenhaus conjecture, Kimmerle conjecture, torsion unit, partial augmentation, integral group ring.

MSC: 16S34, 20C05, 20D08

Language: English