On the geometry of free nilpotent groups

Ruslan Magdiev, Artem Semidetnov

Результат исследований: Рабочие материалырабочие материалы


In this article, we study geometric properties of nilpotent groups. We find a geometric criterion for the word problem for the finitely generated free nilpotent groups. By geometric criterion, we mean a way to determine whether two words represent the same element in a free nilpotent group of rank $r$ and class $k$ by analyzing their behavior on the Cayley graph of the free nilpotent group of rank $r$ and class $k-1$.
Язык оригиналане определен
СостояниеОпубликовано - 31 мая 2021

Серии публикаций

ИздательCornell University