A note on modular group algebras with upper Lie nilpotency indices

• Дата: 2022
• Автори: Bhatt, S., Chandra, H.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2022
• Теми: group algebras; Lie nilpotency index; Lie dimension subgroups; 16S34; 17B30
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1694
• Назва журналу: Algebra and Discrete Mathematics

Let \(KG\) be the modular group algebra of an arbitrary group \(G\) over a field \(K\) of characteristic \(p>0\). In this paper we give some improvements of upper Lie nilpotency index \(t^{L}(KG)\) of the group algebra \(KG\). It can be seen that if \(KG\) is Lie nilpotent, then its lower as...