Fully invariant subgroups of an infinitely iterated wreath product

• Дата: 2018
• Автор: Leshchenko, Yuriy Yu.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: wreath product; fully invariant subgroups; 20B22; 20E18; 20E22
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/684
• Назва журналу: Algebra and Discrete Mathematics

The article deals with the infinitely iterated wreath product of cyclic groups \(C_p\) of prime order \(p\). We consider a generalized infinite wreath product as a direct limit of a sequence of finite \(n\)th wreath powers of \(C_p\) with certain embeddings and use its tableau representation. The ma...