Integral group ring of the McLaughlin simple group

• Дата: 2018
• Автори: Bovdi, V. A., Konovalov, A. B.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Zassenhaus conjecture; Kimmerle conjecture; torsion unit; partial augmentation; integral group ring; 16S34; 20C05; 20D08
• Онлайн доступ: 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.