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Algebra and Discrete Mathematics, 2007, выпуск 2, страницы 43–53
(Mi adm205)
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Эта публикация цитируется в 13 научных статьях (всего в 13 статьях)
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
Аннотация:
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.
Ключевые слова:
Zassenhaus conjecture, Kimmerle conjecture, torsion unit, partial augmentation, integral group ring.
Образец цитирования:
V. A. Bovdi, A. V. Konovalov, “Integral group ring of the McLaughlin simple group”, Algebra Discrete Math., 2007, no. 2, 43–53
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm205 https://www.mathnet.ru/rus/adm/y2007/i2/p43
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