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Algebra and Discrete Mathematics, 2007, Issue 2, Pages 43–53 (Mi adm205)  
This article is cited in 13 scientific papers (total in 13 papers)

RESEARCH ARTICLE

Integral group ring of the McLaughlin simple group

V. A. Bovdia, A. V. Konovalovb

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
Full-text PDF (718 kB) Citations (13)
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.
Bibliographic databases:
Document Type: Article
MSC: 16S34, 20C05, 20D08
Language: English
Citation: V. A. Bovdi, A. V. Konovalov, “Integral group ring of the McLaughlin simple group”, Algebra Discrete Math., 2007, no. 2, 43–53
Citation in format AMSBIB
\Bibitem{BovKon07}
\by V.~A.~Bovdi, A.~V.~Konovalov
\paper Integral group ring of the McLaughlin simple group
\jour Algebra Discrete Math.
\yr 2007
\issue 2
\pages 43--53
\mathnet{http://mi.mathnet.ru/adm205}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2364062}
\zmath{https://zbmath.org/?q=an:1159.16028}
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  • https://www.mathnet.ru/eng/adm/y2007/i2/p43
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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