Integral group ring of the McLaughlin simple group

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• Main Authors: Bovdi, V.A., Konovalov, A.B.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157353
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Integral group ring of the McLaughlin simple group / V.A. Bovdi, A.B. Konovalov // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 43–53. — Бібліогр.: 26 назв. — англ.

We consider the Zassenhaus conjecture for the normalized unit group of the integral group ring of the McLaughlin sporadic group McL. As a consequence, we confirm for this group the Kimmerle’s conjecture on prime graphs.