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

Published online by Cambridge University Press:  01 February 2010

V. A. Bovdi ,
A. B. Konovalov  and
S. Linton
V. A. Bovdi
Affiliation:
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, vbovdi@math.klte.hu
A. B. Konovalov
Affiliation:
School of Computer Science, University of St Andrews, North Haugh, St Andrews, Fife, KY16 9SX, Scotland, konovalov@member.ams.org
S. Linton
Affiliation:
School of Computer Science, University of St Andrews, North Haugh, St Andrews, Fife, KY16 9SX, Scotland, sal@cs.st-and.ac.uk

Abstract

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We investigate the possible character values of torsion units of the normalized unit group of the integral group ring of the Mathieu sporadic group M22. We confirm the Kimmerle conjecture on prime graphs for this group and specify the partial augmentations for possible counterexamples to the stronger Zassenhaus conjecture.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 11 , 2008 , pp. 28 - 39
Copyright
Copyright © London Mathematical Society 2008

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