Integral group ring of the McLaughlin simple group

• Datum: 2018
• Hauptverfasser: Bovdi, V. A., Konovalov, A. B.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Zassenhaus conjecture; Kimmerle conjecture; torsion unit; partial augmentation; integral group ring; 16S34; 20C05; 20D08
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/842
• Назва журналу: Algebra and Discrete Mathematics

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