On verbal subgroups of finitely generated nilpotent groups

• Дата: 2018
• Автор: Bier, Agnieszka
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: finitely generated nilpotent groups; verbal subgroups; 20D15; 20F18
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/773
• Назва журналу: Algebra and Discrete Mathematics

The paper concerns the problem of characterization of  verbal subgroups in finitely generated nilpotent groups. We introduce the notion of verbal poverty and show that every verbally poor finitely generated nilpotent group is a finite \(p\)-group with the lower \(p\)-central series for certain prime...